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4 Attachment(s)
From the thread [URL="https://mersenneforum.org/showthread.php?t=10354&page=10"]https://mersenneforum.org/showthread.php?t=10354&page=10[/URL], searched up to n=6000, k=4 and k=5 (for the Riesel side) are still running ....
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3 Attachment(s)
All searched up to n=2^12
Riesel k=4, Sierp k=4, Sierp k=5, Sierp k=6 are still running |
Exclusions for k<=12:
Riesel k=1: b=m^r with r>1 proven composite by full algebraic factors Riesel k=2: none Riesel k=3: none Riesel k=4: b==(4 mod 5): odd n, factor of 5; even n, algebraic factors b=m^2 proven composite by full algebraic factors Riesel k=5: b==(11 mod 12): covering set [2, 3] Riesel k=6: b==(34 mod 35): covering set [5, 7] b=6*m^2 with m==(2, 3 mod 5): even n, factor of 5; odd n, algebraic factors Riesel k=7: b==(11 mod 12): covering set [2, 3] Riesel k=8: b==(20 mod 21): covering set [3, 7] b==(83, 307 mod 455): covering set [5, 7, 13] b=m^3 proven composite by full algebraic factors Riesel k=9: b==(4 mod 5): odd n, factor of 5; even n, algebraic factors b==(9 mod 16): odd n, factor of 2; even n, algebraic factors b=m^2 proven composite by full algebraic factors Riesel k=10: b==(32 mod 33): covering set [3, 11] Riesel k=11: b==(14 mod 15): covering set [3, 5] b==(19 mod 20): covering set [2, 5] b=11*m^2 with m==(2, 3 mod 5): even n, factor of 5; odd n, algebraic factors Riesel k=12: b==(142 mod 143): covering set [11, 13] base 307: covering set [5, 11, 29] base 901: covering set [7, 11, 13, 19] Sierp k=1: b=m^r with odd r>1 proven composite by full algebraic factors Sierp k=2: none Sierp k=3: none Sierp k=4: b==(14 mod 15); covering set [3, 5] b=m^4 proven composite by full algebraic factors Sierp k=5: b==(11 mod 12): covering set [2, 3] Sierp k=6: b==(34 mod 35); covering set [5, 7] Sierp k=7: b==(5, 11, 23 mod 24): covering set [2, 3] Sierp k=8: b==(20 mod 21): covering set [3, 7] b==(47, 83 mod 195): covering set [3, 5, 13] base 467: covering set [3, 5, 7, 19, 37] base 722: covering set [3, 5, 13, 73, 109] b=m^3 proven composite by full algebraic factors base 128: no possible prime Sierp k=9: b==(19 mod 20): covering set [2, 5] Sierp k=10: b==(32 mod 33): covering set [3, 11] Sierp k=11: b==(14 mod 15): covering set [3, 5] b==(19 mod 20): covering set [2, 5] b==(5 mod 24): covering set [2, 3] Sierp k=12: b==(142 mod 143): covering set [11, 13] bases 296 and 901: covering set [7, 11, 13, 19] bases 562, 828, 900, and 1166: covering set [7, 13, 19] base 563 and 1433: covering set [5, 7, 13, 19, 29] base 597: covering set [5, 13, 29] |
4 Attachment(s)
Update files.
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Primality certificates for the primes >= 300 digits for the proven or near-proven bases for the k such that gcd(k+-1,b-1) (+ for Sierpinski, - for Riesel) is not 1: (only for k < 1st CK)
S7: [URL="http://factordb.com/cert.php?id=1100000000887911448"]k=141[/URL] S13: [URL="http://factordb.com/index.php?id=1100000000000217927"]k=11[/URL] (proven by N-1-method) S16: [URL="http://factordb.com/cert.php?id=1100000000001707231"]k=23[/URL] S25: [URL="http://factordb.com/cert.php?id=1100000000894427397"]k=61[/URL] S33: (k=319 and k=407 are only probable primes) [URL="http://factordb.com/cert.php?id=1100000000899413872"]k=11[/URL] [URL="http://factordb.com/index.php?id=1100000000899426975"]k=31[/URL] (proven by N-1-method) [URL="http://factordb.com/cert.php?id=1100000000920998609"]k=63[/URL] [URL="http://factordb.com/cert.php?id=1100000000929860549"]k=251[/URL] [URL="http://factordb.com/cert.php?id=1100000000929860562"]k=305[/URL] S36: [URL="http://factordb.com/index.php?id=1100000000899428877"]k=223[/URL] (proven by N+1-method) ([URL="http://factordb.com/cert.php?id=1100000000908656035"]certificate for large prime factor for N+1[/URL]) [URL="http://factordb.com/cert.php?id=1100000000916755463"]k=1000[/URL] [URL="http://factordb.com/cert.php?id=1100000000929860596"]k=1669[/URL] S37: [URL="http://factordb.com/cert.php?id=1100000000921139606"]k=19[/URL] S43: [URL="http://factordb.com/cert.php?id=1100000000899429028"]k=9[/URL] [URL="http://factordb.com/index.php?id=1100000000899429035"]k=13[/URL] (proven by N-1-method) |
S46: (k=17 is only probable prime)
[URL="http://factordb.com/cert.php?id=1100000000920998568"]k=89[/URL] [URL="http://factordb.com/cert.php?id=1100000000920998576"]k=95[/URL] [URL="http://factordb.com/cert.php?id=1100000001506869599"]k=140[/URL] [URL="http://factordb.com/cert.php?id=1100000000929841013"]k=229[/URL] [URL="http://factordb.com/cert.php?id=1100000001506863902"]k=278[/URL] [URL="http://factordb.com/cert.php?id=1100000001506861892"]k=347[/URL] [URL="http://factordb.com/cert.php?id=1100000000929845294"]k=551[/URL] [URL="http://factordb.com/cert.php?id=1100000001506868744"]k=619[/URL] [URL="http://factordb.com/cert.php?id=1100000001506860965"]k=729[/URL] S58: (k=266 is only probable prime) [URL="http://factordb.com/cert.php?id=1100000001506867741"]k=20[/URL] [URL="http://factordb.com/cert.php?id=1100000000917723083"]k=29[/URL] [URL="http://factordb.com/cert.php?id=1100000000920998505"]k=53[/URL] [URL="http://factordb.com/cert.php?id=1100000000929848891"]k=146[/URL] [URL="http://factordb.com/cert.php?id=1100000000929848930"]k=209[/URL] [URL="http://factordb.com/cert.php?id=1100000001506868811"]k=296[/URL] [URL="http://factordb.com/cert.php?id=1100000000929848453"]k=332[/URL] [URL="http://factordb.com/cert.php?id=1100000001568659081"]k=362[/URL] [URL="http://factordb.com/cert.php?id=1100000000929848952"]k=383[/URL] [URL="http://factordb.com/cert.php?id=1100000001506867627"]k=392[/URL] [URL="http://factordb.com/cert.php?id=1100000000929848875"]k=416[/URL] S61: [URL="http://factordb.com/cert.php?id=1100000000922387835"]k=23[/URL] [URL="http://factordb.com/cert.php?id=1100000000922387890"]k=43[/URL] [URL="http://factordb.com/cert.php?id=1100000000922457360"]k=62[/URL] S64: [URL="http://factordb.com/cert.php?id=1100000000315647263"]k=11[/URL] |
2 Attachment(s)
[QUOTE=sweety439;555375]Update files.[/QUOTE]
Update files, all Sierp/Riesel k=1~7 (for bases 2<=b<=1024) are searched to n=6000 |
[QUOTE=sweety439;555383]S46: (k=17 is only probable prime)
[URL="http://factordb.com/cert.php?id=1100000000920998568"]k=89[/URL] [URL="http://factordb.com/cert.php?id=1100000000920998576"]k=95[/URL] [URL="http://factordb.com/cert.php?id=1100000001506869599"]k=140[/URL] [URL="http://factordb.com/cert.php?id=1100000000929841013"]k=229[/URL] [URL="http://factordb.com/cert.php?id=1100000001506863902"]k=278[/URL] [URL="http://factordb.com/cert.php?id=1100000001506861892"]k=347[/URL] [URL="http://factordb.com/cert.php?id=1100000000929845294"]k=551[/URL] [URL="http://factordb.com/cert.php?id=1100000001506868744"]k=619[/URL] [URL="http://factordb.com/cert.php?id=1100000001506860965"]k=729[/URL] S58: (k=266 is only probable prime) [URL="http://factordb.com/cert.php?id=1100000001506867741"]k=20[/URL] [URL="http://factordb.com/cert.php?id=1100000000917723083"]k=29[/URL] [URL="http://factordb.com/cert.php?id=1100000000920998505"]k=53[/URL] [URL="http://factordb.com/cert.php?id=1100000000929848891"]k=146[/URL] [URL="http://factordb.com/cert.php?id=1100000000929848930"]k=209[/URL] [URL="http://factordb.com/cert.php?id=1100000001506868811"]k=296[/URL] [URL="http://factordb.com/cert.php?id=1100000000929848453"]k=332[/URL] [URL="http://factordb.com/cert.php?id=1100000001568659081"]k=362[/URL] [URL="http://factordb.com/cert.php?id=1100000000929848952"]k=383[/URL] [URL="http://factordb.com/cert.php?id=1100000001506867627"]k=392[/URL] [URL="http://factordb.com/cert.php?id=1100000000929848875"]k=416[/URL] S61: [URL="http://factordb.com/cert.php?id=1100000000922387835"]k=23[/URL] [URL="http://factordb.com/cert.php?id=1100000000922387890"]k=43[/URL] [URL="http://factordb.com/cert.php?id=1100000000922457360"]k=62[/URL] S64: [URL="http://factordb.com/cert.php?id=1100000000315647263"]k=11[/URL][/QUOTE] S67: [URL="http://factordb.com/cert.php?id=1100000000933743278"]k=11[/URL] S72: [URL="http://factordb.com/cert.php?id=1100000001545324465"]k=141[/URL] S73: (k=14 is only probable prime) [URL="http://factordb.com/cert.php?id=1100000000955319214"]k=21[/URL] [URL="http://factordb.com/cert.php?id=1100000000933743766"]k=39[/URL] S75: [URL="http://factordb.com/cert.php?id=1100000000955319204"]k=11[/URL] S79: [URL="http://factordb.com/index.php?id=1100000000895533004"]k=3[/URL] (proven by N+1-method) ([URL="http://factordb.com/cert.php?id=1100000000266100655"]certificate for large prime factor for N+1[/URL]) [URL="http://factordb.com/index.php?id=1100000000936108459"]k=5[/URL] (proven by N-1-method) S80: [URL="http://factordb.com/cert.php?id=1100000000936108517"]k=552[/URL] S81: (k=311 is only probable prime) [URL="http://factordb.com/cert.php?id=1100000001544499856"]k=34[/URL] [URL="http://factordb.com/cert.php?id=1100000000778119796"]k=41[/URL] [URL="http://factordb.com/cert.php?id=1100000000936108563"]k=43[/URL] [URL="http://factordb.com/cert.php?id=1100000001545068937"]k=317[/URL] [URL="http://factordb.com/cert.php?id=1100000000936108914"]k=349[/URL] [URL="http://factordb.com/cert.php?id=1100000001545089353"]k=389[/URL] [URL="http://factordb.com/cert.php?id=1100000000936108996"]k=415[/URL] [URL="http://factordb.com/cert.php?id=1100000000936109004"]k=425[/URL] [URL="http://factordb.com/cert.php?id=1100000000936109030"]k=431[/URL] [URL="http://factordb.com/cert.php?id=1100000000936109048"]k=433[/URL] [URL="http://factordb.com/cert.php?id=1100000000936109077"]k=479[/URL] [URL="http://factordb.com/cert.php?id=1100000000934850796"]k=503[/URL] S88: [URL="http://factordb.com/cert.php?id=1100000000936509845"]k=8[/URL] S92: [URL="http://factordb.com/cert.php?id=1100000000936109437"]k=25[/URL] S93: (k=19 is only probable prime) [URL="http://factordb.com/index.php?id=1100000000895533224"]k=3[/URL] (proven by N-1-method) [URL="http://factordb.com/cert.php?id=1100000000936109495"]k=31[/URL] [URL="http://factordb.com/cert.php?id=1100000001094944813"]k=43[/URL] S94: [URL="http://factordb.com/cert.php?id=1100000000936109552"]k=17[/URL] S97: [URL="http://factordb.com/cert.php?id=1100000000936109659"]k=26[/URL] [URL="http://factordb.com/cert.php?id=1100000000936109743"]k=68[/URL] [URL="http://factordb.com/cert.php?id=1100000000936109794"]k=87[/URL] [URL="http://factordb.com/cert.php?id=1100000000936109874"]k=122[/URL] S103: (k=13 is only probable prime) [URL="http://factordb.com/cert.php?id=1100000000936113120"]k=20[/URL] S105: (k=191 is only probable prime) [URL="http://factordb.com/cert.php?id=1100000000936113242"]k=39[/URL] [URL="http://factordb.com/cert.php?id=1100000000936113332"]k=183[/URL] S107: [URL="http://factordb.com/index.php?id=1100000000895533274"]k=3[/URL] (proven by N+1-method) S113: [URL="http://factordb.com/cert.php?id=1100000000937227468"]k=13[/URL] S115: [URL="http://factordb.com/cert.php?id=1100000001062201612"]k=50[/URL] |
S117:
[URL="http://factordb.com/cert.php?id=1100000001094680457"]k=11[/URL] [URL="http://factordb.com/cert.php?id=1100000000936593618"]k=47[/URL] [URL="http://factordb.com/cert.php?id=1100000000936593625"]k=67[/URL] [URL="http://factordb.com/cert.php?id=1100000001094680500"]k=75[/URL] [URL="http://factordb.com/cert.php?id=1100000000936593642"]k=77[/URL] [URL="http://factordb.com/index.php?id=1100000000936593650"]k=81[/URL] (proven by N+1-method) S256: (k=11 is only probable prime) [URL="http://factordb.com/cert.php?id=1100000000001707231"]k=23[/URL] S1024: [URL="http://factordb.com/cert.php?id=1100000000001729238"]k=14[/URL] [URL="http://factordb.com/cert.php?id=1100000000000876912"]k=41[/URL] [URL="http://factordb.com/cert.php?id=1100000000315647263"]k=44[/URL] |
[URL="https://docs.google.com/document/d/e/2PACX-1vR6dI6_7HVDxITGTDDDMDdxLNlkxyMK--vpiWL0Sf2JgBChgxzeMsyXWqkD4lgymDQ-PJZJlsvnJhll/pub"]https://docs.google.com/document/d/e/2PACX-1vR6dI6_7HVDxITGTDDDMDdxLNlkxyMK--vpiWL0Sf2JgBChgxzeMsyXWqkD4lgymDQ-PJZJlsvnJhll/pub[/URL]
Update newest file for Riesel problems to include R126 |
Reserve R70
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