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Difference between revisions of "Riesel prime 2 1"

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(2020-07-19)
(add & clean up Woodall references)
 
(17 intermediate revisions by 3 users not shown)
Line 1: Line 1:
 
{{Riesel prime
 
{{Riesel prime
 
|Rk=1
 
|Rk=1
−
|RCount=51
+
|Rb=2
 +
|RCount=52
 
|RNash=925
 
|RNash=925
−
|RMaxn=91000000
+
|RMaxn=124817431
−
|RDate=2020-07-19
+
|RDate=2024-10-31
 
|RReserved=GIMPS
 
|RReserved=GIMPS
 
|RNlist=
 
|RNlist=
−
2;T:ST;C:'''[[M1]]''', {{NWo|+|1}}, {{NWo|-|2}}
+
2;T:ST;C:'''[[M1]]''', {{NWo|+|1}}, {{NWo|-|2}}, {{NWo|4|1}}
−
3;T:W;C:'''[[M2]]''', {{NWo|2}}
+
3;C:'''[[M2]]''', {{NWo|2}}, {{NWo|+|4|1}}, {{NWo|8|1}}
−
5;C:'''[[M3]]''', {{NWo|+|3}}
+
5;C:'''[[M3]]''', {{NWo|+|3}}, {{NWo|4|2}}, {{NWo|32|1}}
−
7;C:'''[[M4]]''', {{NWo|-|5}}
+
7;C:'''[[M4]]''', {{NWo|-|5}}, {{NWo|-|4|3}}, {{NWo|8|2}}, {{NWo|128|1}}
−
13;C:'''[[M5]]'''
+
13;C:'''[[M5]]''', {{NWo|64|2}}, {{NWo|8192|1}}
−
17;C:'''[[M6]]'''
+
17;C:'''[[M6]]''', {{NWo|+|4|7}}, {{NWo|256|2}}, {{NWo|131072|1}}
−
19;C:'''[[M7]]''', {{NWo|+|15}}
+
19;C:'''[[M7]]''', {{NWo|+|15}}, {{NWo|4|8}}, {{NWo|512|2}}, {{NWo|524288|1}}
−
31;C:'''[[M8]]'''
+
31;C:'''[[M8]]''', {{NWo|32768|2}}
 
61;C:'''[[M9]]'''
 
61;C:'''[[M9]]'''
 
89;C:'''[[M10]]'''
 
89;C:'''[[M10]]'''
−
107;C:'''[[M11]]'''
+
107;C:'''[[M11]]''', {{NWo|8192|8}}
 
127;C:'''[[M12]]'''
 
127;C:'''[[M12]]'''
−
521;T:W;C:'''[[M13]]''', {{NWo|512}}
+
521;C:'''[[M13]]''', {{NWo|512}}
 
607;C:'''[[M14]]'''
 
607;C:'''[[M14]]'''
 
1279;C:'''[[M15]]'''
 
1279;C:'''[[M15]]'''
Line 58: Line 59:
 
77232917;124104;C:'''[[M50]]'''
 
77232917;124104;C:'''[[M50]]'''
 
82589933;125874;C:'''[[M51]]'''
 
82589933;125874;C:'''[[M51]]'''
−
|RRemarks=For this ''k''-value these are the [[Mersenne prime]]s. All exponents ''n'' < {{Num|52000000}} have been [https://www.mersenne.org/report_milestones/ verified].
+
136279841;138668;C:'''[[M52]]'''
 +
|RRemarks=For this {{Vk}}-value these are the [[Mersenne prime]]s. All exponents {{Vn}} < {{Num|70202087}} have been [https://www.mersenne.org/report_milestones/ verified].<br>The {{OEIS|l|A000043}}<br>See also {{NWi|MM|2|n}}
 
}}
 
}}
 
==See also==
 
==See also==
 
*[[Great Internet Mersenne Prime Search]]
 
*[[Great Internet Mersenne Prime Search]]
 
*[[List of known Mersenne primes]]
 
*[[List of known Mersenne primes]]

Latest revision as of 03:53, 15 January 2025

Reserved! This sequence is currently reserved by: GIMPS

Current data

k , b : 1 , 2
Type : Low
Count : 52
Nash : 925
Max n : 124,817,431
Date : 2024-10-31
Reserved : GIMPSGIMPS/Reserved
2[1], 3[2], 5[3], 7[4], 13[5], 17[6], 19[7], 31[8], 61[9], 89[10], 107[11], 127[12], 521[13], 607[14], 1279[15], 2203[16], 2281[17], 3217[18], 4253[19], 4423[20], 9689[21], 9941[22], 11213[23], 19937[24], 21701[25], 23209[26], 44497[27], 86243[28], 110503[29], 132049[30], 216091[31], 756839[32], 859433[33], 1257787[34], 1398269[35], 2976221[36], 3021377[37], 6972593[38], 13466917[39], 20996011[40], 24036583[41], 25964951[42], 30402457[43], 32582657[44], 37156667[45], 42643801[46], 43112609[47], 57885161[48], 74207281[49], 77232917[50], 82589933[51], 136279841[52]
Remarks :
For this k-value these are the Mersenne primes. All exponents n < 70,202,087 have been verified.
The sequence A000043 in OEIS
See also Williams 2n-1

Notes

  1. Jump up ↑ Sophie Germain n=2, Twin n=2, M1, Near Woodall 2•21-1, Near Woodall 1•22-1, Woodall 41-1
  2. Jump up ↑ M2, Woodall 2•22-1, Near Woodall 2•41-1, Woodall 81-1
  3. Jump up ↑ M3, Near Woodall 4•23-1, Woodall 2•42-1, Woodall 321-1
  4. Jump up ↑ M4, Near Woodall 4•25-1, Near Woodall 2•43-1, Woodall 2•82-1, Woodall 1281-1
  5. Jump up ↑ M5, Woodall 2•642-1, Woodall 81921-1
  6. Jump up ↑ M6, Near Woodall 8•47-1, Woodall 2•2562-1, Woodall 1310721-1
  7. Jump up ↑ M7, Near Woodall 16•215-1, Woodall 8•48-1, Woodall 2•5122-1, Woodall 5242881-1
  8. Jump up ↑ M8, Woodall 2•327682-1
  9. Jump up ↑ M9
  10. Jump up ↑ M10
  11. Jump up ↑ M11, Woodall 8•81928-1
  12. Jump up ↑ M12
  13. Jump up ↑ M13, Woodall 512•2512-1
  14. Jump up ↑ M14
  15. Jump up ↑ M15
  16. Jump up ↑ M16
  17. Jump up ↑ M17
  18. Jump up ↑ M18
  19. Jump up ↑ M19
  20. Jump up ↑ M20
  21. Jump up ↑ M21
  22. Jump up ↑ M22
  23. Jump up ↑ M23
  24. Jump up ↑ M24
  25. Jump up ↑ M25
  26. Jump up ↑ M26
  27. Jump up ↑ M27
  28. Jump up ↑ M28
  29. Jump up ↑ M29
  30. Jump up ↑ M30
  31. Jump up ↑ M31
  32. Jump up ↑ M32
  33. Jump up ↑ M33
  34. Jump up ↑ M34
  35. Jump up ↑ M35
  36. Jump up ↑ M36
  37. Jump up ↑ M37
  38. Jump up ↑ M38
  39. Jump up ↑ M39
  40. Jump up ↑ M40
  41. Jump up ↑ M41
  42. Jump up ↑ M42
  43. Jump up ↑ M43
  44. Jump up ↑ M44
  45. Jump up ↑ M45
  46. Jump up ↑ M46
  47. Jump up ↑ M47
  48. Jump up ↑ M48
  49. Jump up ↑ M49
  50. Jump up ↑ M50
  51. Jump up ↑ M51
  52. Jump up ↑ M52

See also

Retrieved from "https://www.rieselprime.de/z/index.php?title=Riesel_prime_2_1&oldid=37125"