The primality of the nine numbers p, p+210, ..., p+1680 was checked independently by François Morain using his ECPP program. The prime certificates are available from ftp://lix.polytechnique.fr/pub/submissions/morain/Certif/AP/9, files p1.certif to p9.certif.
For the history of the search see history.
Ranges of 10^12 values which are finished: 220-226, 229, 233-235, 237-241, 243-246, 249, 251, 253-259, 261-264, 267-268, 270-275, 277-283, 287-288, 293-294, 300-302, 304-305, 314, 317, 319-321, 324, 332, 335, 347-349, 352, 401-405, 411, 421, 437, 438, 500-507.
| 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 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 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);
November 17: Paul Zimmermann N=220237184434352.
November 20: Sturle Sunde N=228862441305057.
November 21: Craig Stevenson N=321173808733695.
November 25: Robert Dubner N=404323275143576.
November 26: Nik Lygeros and Michel Mizony N=220458527093293. Harvey Dubner N=400088345825136.
November 27: Tony Forbes N=303360676324814.
November 28: Nik Lygeros and Michel Mizony N=238613448197617.
December 2: Hubert Fauque N=415357208288569. Nik Lygeros and Michel Mizony N=238913241290933.
December 4: Nik Lygeros and Michel Mizony N=239483501258984.
December 5: Torsten Metzner N=246740197360565.
December 7: Bruce Biavatti N=418462289354440.
December 8: Torsten Metzner N=246587533582294. Gerald Ruescher (Jerry) N=305619363859099. Ray Ballinger N=319020586663871 and N=319556796707163.
December 12: Luke Welsh N=312289387456697.
December 13: Sturle Sunde N=309562765212360. Harvey Dubner N=402745620694208.
December 15: Emily and Stephen Tholberg N=410756110351860. December 17: Rick Heylen N=438200741959258.
December 20: Harriet Dubner N=401826849053806.
January 5: Paul Nicholson N=268982504413218.
January 6 : Michel Quercia N=502838172308698.
January 13 : Rick Heylen N=438452017809603.
November 19: Nik Lygeros and Michel Mizony N=223291875083584.
November 21: Paul Nicholson N=229852712354663.
November 25: Nik Lygeros and Michel Mizony N=238171496314162. Michel Quercia N=237124256640106, 237486571323214, 235751617004478. Toplic Manfred N=317082542086489.
November 26: Nik Lygeros and Michel Mizony N=220515158330332, 22053280254926,238318072926332. Bernard Landreau N=234493022159199. Dennis S. Kluk N=310033615940928, 310203750897302. James Buddenhagen N=313066470571199, 313113234174309, 313125156325843. Jean-Yves Canart N=314207627176991, 314221397333934, 314098758652665, 314537286876882, 314971655488468. Luke Welsh N=312031945063874, 312034598384398.
November 27: Jan Roger Sandbakken N=324022080051914, 324059591947553, 324161142429028. Nik Lygeros and Michel Mizony N=220803683973333, 223178601181162.
November 29: Cyril Aschenbrenner N=334007034387862. Michel Quercia N=241602067280004, 241075507294088.
December 1: Stefan Wehmeier N=242216730877382, 242346355413738.
December 2: Nik Lygeros and Michel Mizony N=221563724245086, Michel Quercia N=244176871265110, 244805638922005, 244902299006292, 223371806491697. Bernard Landreau N=245018768802318, N=245232136635788, N=245422776210452. Tony Forbes N=302676352566637. Jean-Yves Canart N=314551869345498, 314794106556640, 314817356723173.
December 3: Kevin Mulholland N=240317026505641. Elisha Peterson N=307101006764323.
December 4: Nik Lygeros and Michel Mizony N=239285250842075, 239421015331246, 239522450105014, and 223371806491697. Manfred Toplic N=242856400123097, N=242856779606354. Craig Stevenson N=321075416201788, 321175233135617, 321281642161020, 321428915963488,321586938968054, 321618931302225, 321778679343127.
December 5: Nik Lygeros and Michel Mizony N=225064673426187. Michael Taeschner N=320022630749104, 320524244474271, 320605133930729 and 320624769464193. Stefan Wehmeier N=260048426749963.
December 6: Lou Weinfurtner N=332222194931107. Michel Quercia N=248324532127784.
December 8: Michel Quercia N=249861788177577. Jan Roger Sandbakken N=324366672903699. Nik Lygeros andMichel Mizony N=225190518713535. Bernard Landreau N=245090253509345.
December 9: Manfred Toplic N=317545786555498. Craig S. Stevenson N=321934333505878.
December 10: Jan Roger Sandbakken N=324466096432206.
December 11: Alain and Hervé Groleau N=250016910221813. Craig Stevenson N=321075416201788, 321175233135617, 321281642161020, 321428915963488, 321586938968054, 321618931302225, 321778679343127 and 321934333505878. Luke Welsh N=312254794682126.
December 12: Manfred Toplic N=348502333003047.
December 13: Sturle Sunde N=309092082751974, 309144435051124, 309284809100092, 309456597285996, 309475490996231, 309866092069137.
December 14: Chad Davis N=423170393381008. Michel Quercia N=264266218468246, 264333292778392.
December 15: Alain and Hervé Groleau N=250016910221813. Cyril Aschenbrenner N=334173518110390, 334193626287646, 334198450087910, 334201578451904.
December 16: Michel Quercia N=269345758823235, 269359358129453, 269450368779724, 269040400197698, 269217651572060, 269574769874795. Jan Roger Sandbakken N=324607131928718.
December 17: Luke Welsh N=312329869067802. Manfred Toplic N=348067119885721.
December 18: Lou Weinfurtner N=332222194931107. Manfred Toplic N=348556502990749. Bernard Landreau for N=245018768802318, 245232136635788, 245422776210452, 245090253509345, 245848082651377.
December 19: Manfred Toplic N=348594013042624. Ray Ballinger N=340009621006365, 340431150512728, 340460360378817. Chad Davis N=423203413238072. Keith Briggs N=227092546159946.
December 20: James Buddenhagen N=313572738058281, 313591613883251, 313636645094200, 313210775588722, 313320621593239, Cyril Banderier N=243009439045719, 243039272347154 and 270634338425169.
December 22: Toplic Manfred N=348116814727389.
December 23: Jean-Yves Canart N=335153877733529, 335333226909944, 335383015992567, 335497987326844, 335618565776047, 335883235198068 and 335904842676187.
December 26: Rick Heylen N=437837918353382.
December 29: Sturle Sunde N=263091607297737, 263663442620467.
January 2: Kevin O'Hare N=449005010972020. Jan Roger Sandbakken N=324773963579207, 324988356596358.
January 5 : Vilmar Trevisan N=266950782320918.
January 6 : Michael Taeschner N=320022630749104, 320524244474271, 320605133930729, 320624769464193, 320829397783191 and 320862143309957.
January 7 : Ray Ballinger N=352148596532302, 352149496793744, 352271328184946, 352371277932969, 352489030177472, 352749744874863, 352806823884291, 352848822787215.
January 9 : Torsten Metzner N=265936818259956.
January 12 : Jan Roger Sandbakken N=356090783143575.
January 14 : DENNIS S KLUK N=310523497582061.