Newsletter 1, Newsletter 2, Newsletter 3 and Newsletter 4 from Tony Forbes.
k=9 | hit 0 | hit 1 | hit 2 | hit 3 | hit 4 | hit 5 | hit 6 | hit 7 | hit 8 | hit 9 | hit 10 | Total |
expected | 1 | 4 | 8 | 10 | 10 | 8 | 5 | 3 | 1 | 0.5 | 0.2 | 51 |
got | 1 | 2 | 11 | 22 | 20 | 17 | 8 | 4 | 0 | 2 | 1 | 87 |
November 12: Paul Zimmermann found 9 primes in AP, with two bad intermediate primes (p+1348 and p+1566), for N=221153832755059. Torsten Metzner from Paderborn (Germany) found 9 primes in AP, with six bad intermediate primes (p+i for i=12, 598, 730, 792, 816, 838) for N=226139828468252.
November 14: Paul Zimmermann found 9 primes in AP, with three bad intermediate primes (p+730, p+856 and p+1368) for N=220214727578475.
November 17: Michel Quercia from Dijon (France) found 9 primes in AP, with five bad intermediate primes for N=233009952168708 (p+i for i=1008, 1108, 1236, 1332, 1632) and for N=233571893912031 (p+i for i=220, 730, 990, 1408, 1368).
November 19: Michel Quercia from Dijon (France) found 9 primes in AP, with three bad intermediate primes (p+732, p+918 and p+1582) for N=233319609748154. Harvey Dubner found 9 primes in AP, with six bad intermediate primes for N=402224283386010. Hubert Fauque, a PC helper from Montpellier (France), found 9 primes in AP with three bad intermediate primes for N=415050637639089.
November 23: Paul Nicholson reports 9 primes in AP with three bad intermediate primes for N=229588936903020.
November 24: Stan Cohen reports two 9-uples in AP with three bad intermediate primes for N=409107650676672 and N=409128886042763. Bruce Biavatti reports 9 primes in AP with three bad intermediate primes for N=418190976673878.
November 26: Michel Quercia reports 9 primes in AP with five bad intermediate primes for N=241956398131452. Becky and Greg Jaxon from Champaign (Illinois) report 9 primes in AP with three bad intermediate primes for N=328069176725833.
November 28: Michel Mizony and Nik Lygeros report 9 primes in AP with ten bad intermediate primes for N=238560839501648. Michel Quercia reports 9 primes in AP with four bad intermediate primes for N=241383633852070. Tony Forbes reports 9 primes in AP with five bad intermediate primes for N=302582092752805.
December 1: Paul Nicholson reports 9 primes in AP with seven bad intermediate primes for N=240056180976390, and with four bad intermediate primes for N=240614403401390. Stefan Wehmeier from Paderborn (Germany) reports 9 primes in AP with two bad intermediate primes for N=242650800387366, and with only one bad intermediate prime (p+1488) for N=242695575523580; the second one is also a new solution (11th one) to the 8-primes problem.
December 2: Michel Quercia reports 9 primes in AP with four bad intermediate primes for N=244034072310109. Tony Forbes reports 9 primes in AP with two bad primes for N=302692436524493.
December 4: Gerald Ruescher (alias Jerry) from Paderborn (Germany) reports 9 primes in AP with three bad intermediate primes for N=305108859507098, and with four bad intermediate primes for N=305307938469663.
December 5: Michel Quercia reports 9 primes in AP with two bad intermediate primes for N=248257374524554, Michel Mizony and Nik Lygeros 9 primes in AP with four bad intermediate primes for N=225068386194867. Torsten Metzner reports 9 primes in AP with four bad intermediate primes for N=246861452584371.
December 7: Michel Quercia reports 9 primes in AP with three bad intermediate primes for N=249472882024720, and Lou Weinfurtner from Ashland, Kentucky (USA) reports 9 primes in AP with three bad intermediate primes for N=332241656305753.
December 10: Stefan Wehmeier reports 9 primes in AP with five bad intermediate primes for N=260644082004922, Tony Forbes found 9 primes in AP with six bad intermediate primes for N=302906898816005, and Ray Ballinger found 9 primes in AP with nine bad intermediate primes for N=340547692363079.
December 11: Robert Dubner reports 9 primes in AP with six bad intermediate primes for N=404775492601035, and Paul Leunissen found 9 primes in AP with seven bad intermediate primes for N=428232431642070.
December 12: Michel Quercia found 9 primes in AP with two bad intermediate primes for N=264759565388846, and with three bad intermediate primes for N=264811612305811. Michel Mizony and Nik Lygeros found 9 primes in AP with only one bad intermediate prime (p+1410) for N=222870863019614 (too bad!), Tony Forbes 9 primes in AP with seven bad intermediate primes for N=304756042373705, Craig Stevenson 9 primes in AP with four bad intermediate primes for N=347054054201954, Robert Dubner found 9 primes in AP with five bad intermediate primes for N=405901153999470, and Hubert Fauque found 9 primes in AP with seven bad intermediate primes for N=415637612777076. What a lucky day !
December 13: Michel Quercia found 9 primes in AP with three bad intermediate primes for N=269930400869489.
December 14: Michel Quercia found 9 primes in AP with five bad intermediate primes for N=264458872928557.
December 15: Alain and Hervé Groleau found 9 primes in AP with six bad intermediate primes for N=250057630392811, and Paul Nicholson with six bad intermediate primes too for N=261426734802900.
December 16: Michel Quercia found 9 primes in AP with four bad intermediate primes for N=269119298521119.
December 17: Rick Heylen found 9 primes in AP with five bad intermediate primes for N=438177862643515.
December 18: Sturle Sunde found 9 primes in AP with four bad intermediate primes for N=349188552182008.
December 19: Michel Quercia found 9 primes in AP with six bad intermediate primes for N=271465920603158, Tony Forbes with two for N=343094143543694, Ray Ballinger with three for N=340746891396007 and Michel Mizony and Nik Lygeros with nine for N=255207304947344.
December 20: James Buddenhagen found 9 primes in AP with four bad intermediate primes for N= 313551943553863.
December 22: Michel Quercia found 9 primes in AP with five bad intermediate primes for N=273957527123509 and Nik Lygeros and Michel Mizony from Lyon (France) with two for N=255831931845191.
December 23: Michel Quercia found 9 primes in AP with three bad intermediate primes for N=274048495127979.
December 26: Michel Quercia found 9 primes in AP with three bad intermediate primes for N=275600537160456.
December 29: Michel Quercia found 9 primes in AP with five bad intermediate primes for N=279197288985660.
December 30: Michel Quercia found 9 primes in AP with four bad intermediate primes for N=279490711670429.
January 2: Craig Stevenson found 9 primes in AP with three bad intermediate primes for N=347759162806947, Michel Quercia with five bad intermediate primes for N=280890562451594, and Nik Lygeros and Michel Mizony with four for N=258593388104416.
January 3: Michel Quercia found 9 primes in AP with five bad intermediate primes for N=501078823074479.
January 5: Tony Forbes found 9 primes in AP with six bad intermediate primes for N=399816269077893 and Torsten Metzner with three bad intermediate primes for N=265744173727017 and Paul Nicholson with four for N=268583530908596.
January 6: Craig Stevenson found 9 primes in AP with five bad intermediate primes for N=347807968092117 and Sturle Sunde with three bad intermediate primes for N=349958760073914.
January 7 : Michel Quercia found 9 primes in AP with four for N=505003529654063.
January 9 : Nik Lygeros and Michel Mizony found 9 primes in AP with three bad intermediate primes for N=507382929206040, Michel Quercia with four for N=506025780283914, Craig Stevenson with two for N=358067348924929 and Jon Kierkegaard with three for N=290958736460603.
January 10 : Michel Quercia found 9 primes in AP with three bad intermediate primes for N=506433637675866, with four for N=293253744319118 and Jon Kierkegaard with four for N=290017561629624.
January 12 : Michel Quercia found 9 primes in AP with five bad intermediate primes for N=293576472812961 and Stefan Wehmeier with five for N=260644082004922 and Toplic Manfred with two for N=500814679548574.
January 13 : Heylen found 9 primes in AP with four bad intermediate primes for N=438917221194258 and Bernard Landreau with five for N=291245407253784.
January 14 : DENNIS S KLUK found 9 primes in AP with two bad intermediate primes for N=310541396835457.
January 15 : Nik Lygeros and Michel Mizony found 9 primes in AP with four bad intermediate primes for N=508331721014703 and with five for N=508343030687139. Robert Dubner found 9 primes in AP with four for N=445489240925339.
January 15 : at 15h. Toplic Manfred found 9 primes in AP (with null bad intermediate primes) for N=500996388736659, (i.e.p=996794320667010864844906536958535616389823640809916183957740485 85529071475461114799677694651);
January 17 : Vilmar Trevisan found 9 primes in AP with four bad intermediate primes for N=90017561629624.
November 14: Nik Lygeros and Michel Mizony from Lyon (France) found 8 primes in AP, with four bad intermediate primes (p+880, p+1302, p+1356, p+1642) for N=223501197073747. Paul Zimmermann found 8 primes in AP, with no intermediate prime, for N=221236230528997. This is the second known solution for 8 consecutive primes in arithmetic progression.
November 17: Paul Zimmermann found 8 primes in AP, with no intermediate prime, for N=220237184434352.
November 18: Sturle Sunde, a student at the University of Oslo (Norway), found 8 primes in AP, with two intermediate primes (p+492 and p+1108), for N=309261492595406. Paul Nicholson found 8 primes in AP with four intermediate primes for N=229379063220138, and with three intermediate primes (p+792, p+1356 and p+1360) for N=229336460744798. What a lucky day for him !
November 19: Nick Gorham from Leeds (UK), a colleague of Paul Nicholson, found 8 primes in AP with three intermediate primes for N=229267875976928.
November 20: Paul Nicholson found 8 primes in AP with two intermediate primes for N=229392402078958. Sturle Sunde from Norway found 8 primes in AP with no intermediate prime for N=228862441305057. This is the 4th known solution to the 8-primes problem.
November 21: Nik Lygeros and Michel Mizony from Lyon (France) found 8 primes in AP with three intermediate primes for N=225720432463328. Bernard Landreau from Bordeaux (France) found 8 primes in AP with two intermediate primes for N=234174882485574.
Craig Stevenson from Socorro, New Mexico (USA) reports 8 primes in AP with no intermediate prime for N=321173808733695; this is the 5th known solution to the 8-primes problem.
November 23: Tony Forbes reports some hits from PC helpers: Jean-Yves Canart from Silly (Belgium) found 8 primes in AP with three intermediate primes for N=314240589608328, and Luke Welsh from Sunnyvale, California (USA) found 8 primes in AP with only one intermediate prime (p+792) for N=312013123453568.
November 25: Toplic Manfred from Austria reports 8 primes in AP with 4 intermediate primes for N=317082542086489; please note that the first 7 primes are consecutive! Robert Dubner (Harvey's son) reports 8 primes in AP with no intermediate prime for N=404323275143576. This is the 6th known solution to the 8-primes problem.
November 26: Michel Mizony and Nik Lygeros report 8 primes in AP with no intermediate prime for N=220458527093293, and similarly Harvey Dubner for N=400088345825136. These are the 7th and 8th solutions to the 8-primes problem. Dennis S. Kluk reports 8 primes in AP with four intermediate primes for N=310174534321206, James Buddenhagen with one intermediate prime for N=313097064121256, and Toplic Manfred with three intermediate primes for N=317030494157387.
November 27: Tony Forbes found 8 consecutive primes in AP with N=303360676324814 (9th solution to the 8-primes problem).
November 28: Michel Mizony and Nik Lygeros report 8 primes in AP with no intermediate prime for N=238613448197617 (10th solution for 8 primes).
December 2: Michel Mizony and Nik Lygeros report 8 primes in AP with no intermediate prime for N=238913241290933 (12th solution for 8 primes). Hubert Fauque reports 8 consecutive primes in AP for N=415357208288569 (13th solution).
December 4: Michel Mizony and Nik Lygeros report 8 consecutive primes in AP for N=239483501258984 (14th solution).
December 5: Torsten Metzner reports 8 consecutive primes in AP for N=246740197360565 (15th solution).
December 7: Bruce Biavatti from Byack (New York) found 8 consecutive primes in AP for N=418462289354440 (16th solution).
December 8: Torsten Metzner reports 8 consecutive primes in AP for N=246587533582294 (17th solution), Gerald Ruescher (Jerry) for N=305619363859099 (18th), and Ray Ballinger for N=319020586663871 and 319556796707163 (19th and 20th). Cyril Aschenbrenner from Lyon (France) found 8 primes in AP with five bad intermediate primes for N=334133981208577 and N=334121938039256.
December 11: Alain and Hervé Groleau from Lyon (France) found 8 primes in AP with three bad intermediate primes for N=250012996718998, and with seven bad intermediate primes for N=250027066979226.
December 12: Luke Welsh found 8 consecutive primes in AP for N=312289387456697.
December 13: Sturle Sunde found 8 consecutive primes in AP for N=309562765212360, as did Harvey Dubner for N=402745620694208.
December 15: Emily and Stephen Tholberg, from Pagosa Springs (Colorado, USA) found 8 consecutive primes in AP for N=410756110351860. Jon Kierkegaard from Denmark reports 8 primes in AP with four bad intermediate primes for N=267024719778317. Francoise and Laurent Spagnesi from France report 8 primes in AP with two bad intermediate primes for N=232213211399336.
December 17: Rick Heylen found 8 consecutive primes in AP for N=438200741959258.
December 18: Bernard Landreau (Bordeaux) reports 8 primes in AP with one bad intermediate prime for N=245666455923468, 245719624775643. With two intermediate primes for N=245404027799115. With three bad intermediate primes for N=245598639390559, 245020108880246, 245728189153025. With five intermediate primes for N=245304468107831, 245109634770486.
December 19 : Chad Davis reports 8 primes in AP with three bad intermediate primes for N=423120008991892, with four bad intermediate primes for N=423151028531518 and five bad intermediate primes for N=423190249214800.
December 20: Harriet Dubner found 8 consecutive primes in AP for N=401826849053806. Cyril Banderier reports 8 primes in AP with one bad intermediate prime for N=243851833231955, with two bad intermediate primes for N=243325755778771, 243591960164191 and with three bad intermediate primes for N=243169577887257, 243924622209843.
December 24: Michael Taeschner reports 8 primes in AP with two bad primes for N=320764402657829 and three bad primes for N=320798912067448.
January 5: Paul Nicholson found 8 consecutive primes in AP for N=268982504413218.
January 6 : Michel Quercia found 8 consecutive primes in AP for N=502838172308698.
January 13 : Heylen found 8 consecutive primes in AP for N=438452017809603.
November 25: M. Mizony and N. Lygeros found N=220515158330332. If p+7*210 had been prime, this would have been a solution.
December 22: M. Mizony and N. Lygeros found N=255812161211463. If p+7*210 had been prime, this would have been a solution.
December 23: Jean-Yves Canart found N=335805445305144. If p+210 had been prime, this would have been a solution.
January 7: Toplic Manfred found N=500507171112423. If p+210 had been prime, this would have been a solution.
January 15: Cyril Banderier found N=243009439045719. If p+7*210 had been prime, this would have been a solution.
November 19: Michel Mizony and Nik Lygeros from Lyon (France) found 7 consecutive primes in AP for N=223291875083584.
November 21: Paul Nicholson found 7 consecutive primes in AP for N=229852712354663.
November 25: Michel Mizony and Nik Lygeros found 7 consecutive primes in AP for N=238171496314162. Michel Quercia found new solutions for N=237124256640106, N=237486571323214, N=235751617004478.
November 26: Michel Mizony and Nik Lygeros found 7 consecutive primes in AP for N=220515158330332, N=220532802549262 and N=238318072926332, Bernard Landreau also for N=234493022159199, Dennis S. Kluk for N=310033615940928 and N=310203750897302, James Buddenhagen for N=313066470571199, N=313113234174309 and N=313125156325843, Jean-Yves Canart for N=314207627176991, N=314221397333934, N=314098758652665, N=314537286876882 and N=314971655488468, Luke Welsh for N=312031945063874 and N=312034598384398.
November 27: Jan Roger Sandbakken found 7 consecutive primes in AP for N=324022080051914, N=324059591947553 and N=324161142429028, Michel Mizony and Nik Lygeros for N=220803683973333 and N=223178601181162.
November 29: Cyril Aschenbrenner from Lyon (France) found 7 consecutive primes in AP for N=334007034387862, Michel Quercia for N=241602067280004 and N=241075507294088.
December 1: Stefan Wehmeier found 7 consecutive primes in AP for N=242216730877382 and N=242346355413738.
December 2: Michel Mizony and Nik Lygeros found 7 consecutive primes in AP for N=221563724245086, Michel Quercia for N=244176871265110, N=244805638922005, N=244902299006292 and N=223371806491697. Bernard Landreau reports 7 consecutive primes in AP for N=245018768802318, N=245232136635788 and N=245422776210452. Tony Forbes reports 7 consecutive primes in AP for N=302676352566637. Jean-Yves Canart found 7 consecutive primes in AP for N=314551869345498, 314794106556640 and 314817356723173.
December 3: Kevin Mulholland, a colleague of Paul Nicholson, found 7 consecutive primes in AP for N=240317026505641. Elisha Peterson found 7 consecutive primes in AP for N=307101006764323.
December 4: Michel Mizony and Nik Lygeros found 7 consecutive primes in AP for N=239285250842075, 239421015331246, 239522450105014, and 223371806491697. Manfred Toplic found 7 consecutive primes in AP for N=242856400123097 and N=242856779606354. Craig Stevenson found 7 consecutive primes in AP for N=321075416201788, 321175233135617, 321281642161020, 321428915963488,321586938968054, 321618931302225 and 321778679343127.
December 5: Michel Mizony and Nik Lygeros found 7 consecutive primes in AP for N=225064673426187. Michael Taeschner reports 7 consecutive primes in AP for N=320022630749104, 320524244474271, 320605133930729 and 320624769464193. Stefan Wehmeier found 7 consecutive primes in AP for N=260048426749963.
December 6: Lou Weinfurtner from Ashland (USA) found 7 consecutive primes in AP for N=332222194931107. Michel Quercia found 7 consecutive primes in AP for N=248324532127784.
December 8: Michel Quercia found 7 consecutive primes in AP for N=249861788177577, Jan Roger Sandbakken for N=324366672903699, and Michel Mizony for N=225190518713535. Bernard Landreau found 7 consecutive primes in AP for N=245090253509345.
December 9: Manfred Toplic found 7 consecutive primes in AP for N=317545786555498, and Craig S. Stevenson for N=321934333505878.
December 10: Jan Roger Sandbakken found 7 consecutive primes in AP for N=324466096432206.
December 11: Alain and Hervé Groleau from Lyon (France) found 7 consecutive primes in AP N=250016910221813, Craig Stevenson for N=321075416201788, 321175233135617, 321281642161020, 321428915963488, 321586938968054, 321618931302225, 321778679343127 and 321934333505878, and Luke Welsh for N=312254794682126.
December 12: Manfred Toplic found 7 consecutive primes in AP for N=348502333003047.
December 13: Sturle Sunde found 7 consecutive primes in AP for N=309092082751974, 309144435051124, 309284809100092, 309456597285996, 309475490996231 and 309866092069137.
December 14: Chad Davis reports 7 consecutive primes in AP for N=423170393381008, and Michel Quercia for 264266218468246 and 264333292778392.
December 15: Alain and Hervé Groleau found 7 consecutive primes in AP for N=250016910221813, and Cyril Aschenbrenner for N=334173518110390, 334193626287646, 334198450087910 and 334201578451904.
December 16: Michel Quercia reports 7 consecutive primes in AP for N=269345758823235, 269359358129453, 269450368779724, 269040400197698, 269217651572060, and 269574769874795 and Jan Roger Sandbakken for N=324607131928718.
December 17: Luke Welsh reports 7 consecutive primes in AP for N=312329869067802 and Manfred Toplic for N=348067119885721.
December 18: Lou Weinfurtner reports 7 consecutive primes in AP for N=332222194931107, Manfred Toplic for N=348556502990749 and Bernard Landreau for N=245018768802318, 245232136635788, 245422776210452, 245090253509345, 245848082651377.
December 19: Manfred Toplic reports 7 consecutive primes in AP for N=348594013042624, Ray Ballinger for N=340009621006365, 340431150512728, 340460360378817, Chad Davis for N=423203413238072 and Keith Briggs for N=227092546159946.
December 20: James Buddenhagen reports 7 consecutive primes in AP for N=313572738058281, 313591613883251, 313636645094200, 313210775588722, 313320621593239, Cyril Banderier reports 7 consecutive primes in AP for N=243009439045719, 243039272347154 and 270634338425169.
December 22: Toplic Manfred reports 7 consecutive primes in AP for N=348116814727389.
December 23: Jean-Yves Canart reports 7 consecutive primes in AP for N=335153877733529, 335333226909944, 335383015992567, 335497987326844, 335618565776047, 335883235198068 and 335904842676187.
December 26: Rick Heylen reports 7 consecutive primes in AP for N=437837918353382.
December 29: Sturle Sunde found 7 consecutive primes in AP for N=263091607297737 and N=263663442620467.
January 2: Kevin O'Hare reports 7 consecutive primes in AP for N=449005010972020 and Jan Roger Sandbakken for N=324773963579207 and N=324988356596358.
January 5 : Vilmar Trevisan reports 7 consecutive primes in AP for N=266950782320918.
January 6 : Michael Taeschner reports 7 consecutive primes in AP for N=320022630749104, 320524244474271, 320605133930729, 320624769464193, 320829397783191 and 320862143309957.
January 7 : Ray Ballinger reports 7 consecutive primes in AP for N=352148596532302, 352149496793744, 352271328184946, 352371277932969, 352489030177472, 352749744874863, 352806823884291, 352848822787215.
January 9 : Torsten Metzner reports 7 consecutive primes in AP for N=265936818259956.
January 12 : Jan Roger Sandbakken reports 7 consecutive primes in AP for N=356090783143575.
January 14 : DENNIS S KLUK reports 7 consecutive primes in AP for N=310523497582061.
January 20 : Bernard Landreau reports 7 consecutive primes in AP for N=291243173169631.