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Difference between revisions of "Proth prime 2 21"

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(hist 1979)
(oeis)
 
(2 intermediate revisions by 2 users not shown)
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|PCount=48
 
|PCount=48
 
|PNash=2374
 
|PNash=2374
−
|PMaxn=1860000
+
|PMaxn=9000000
−
|PDate=2020-06-04
+
|PDate=2021-04-01
 
|PReserved=
 
|PReserved=
 
|PMultiRes=
 
|PMultiRes=
 
|PNlist=
 
|PNlist=
 
1;T:T
 
1;T:T
−
4
+
4;T:G
−
5
+
5;T:G
−
7;T:T
+
7;T:GT
−
9
+
9;T:G
−
12
+
12;T:G
−
16
+
16;T:G
−
17
+
17;T:G
−
41
+
41;T:G
−
124
+
124;T:G
−
128
+
128;T:G
−
129
+
129;T:G
−
187
+
187;T:G
−
209
+
209;T:G
−
276
+
276;T:G
 
313
 
313
−
397
+
397;T:G
−
899
+
899;T:G
−
1532
+
1532;T:G
−
1613
+
1613;T:G
−
1969
+
1969;T:G
−
2245
+
2245;T:G
−
2733
+
2733;T:G
−
4585;40620
+
4585;40620;T:G
−
4644;40361
+
4644;40361;T:G
 
6712;35554
 
6712;35554
−
6981;34748
+
6981;34748;T:G
−
13344;27413
+
13344;27413;T:G
−
17524;24161
+
17524;24161;T:G
−
27124;19382
+
27124;19382;T:G
−
29769;18555
+
29769;18555;T:G
−
47337;13223
+
47337;13223;T:G
−
55828;11192
+
55828;11192;T:G
−
91008;5927
+
91008;5927;T:G
−
94801;5723
+
94801;5723;T:G
−
164901;1024
+
164901;1024;T:G
 
179457;658
 
179457;658
−
191337;593
+
191337;593;T:G
−
200568;497
+
200568;497;T:G
−
220992;374
+
220992;374;T:G
−
686632;70456
+
686632;70456;T:G
−
856865;70553
+
856865;70553;T:G
−
1022168;70745
+
1022168;70745;T:G
−
1240067;71000
+
1240067;71000;T:G
−
1421741;73190
+
1421741;73190;T:G
−
1830919;72274
+
1830919;72274;T:G
−
3065701;110470
+
3065701;110470;T:G
−
6048861;130954
+
6048861;130954;T:G
−
|PRemarks=
+
|PRemarks=The {{OEIS|l|A032360}}
 
|PSieve=
 
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
 +
{{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}}
 +
{{HistF|2020-06-04|6048861|Ken Glennie,PrimeGrid Fermat Divisor Search}}
 +
{{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
 +
{{HistF|2012-12-23|3065701|Serge Batalov}}
 +
{{HistF|2005-01-18|1421741|Curtis Cooper}}
 +
{{HistF|2004-11-04|1830919|Curtis Cooper}}
 +
{{HistF|2004-07-20|1240067|Curtis Cooper}}
 +
{{HistF|2004-06-21|1022168|Curtis Cooper}}
 +
{{HistF|2004-05-31|856865|Curtis Cooper}}
 +
{{HistF|2004-05-21|686632|Curtis Cooper}}
 +
{{HistF|2001-06-18|220992|Sturle Sunde}}
 +
{{HistF|2000-10-12|200568|Jukka Santala}}
 +
{{HistF|2000-09-05|191337|Greg Hewgill}}
 +
{{HistF|2000-01-05|179457|Patrick Pirson}}
 +
{{HistF|1999-04-29|164901|John Cosgrave}}
 +
{{HistF|1995-08|94801|Jeffrey Young}}
 +
{{HistF|1995-08|91008|Jeffrey Young}}
 +
{{HistF|1995-08|55828|Jeffrey Young}}
 +
{{HistF|1995-08|47337|Jeffrey Young}}
 +
{{HistF|1993-03|27124|Harvey Dubner}}
 +
{{HistF|1993-01|29769|Harvey Dubner}}
 +
{{HistF|1992|17524|Harvey Dubner}}
 +
{{HistF|1988|13344|Wilfrid Keller}}
 +
{{HistF|1983|6981|Wilfrid Keller}}
 +
{{HistF|1983|6712|Wilfrid Keller}}
 +
{{HistF|1983|4644|Wilfrid Keller}}
 +
{{HistF|1983|4585|Wilfrid Keller}}
 
{{HistC|1979|1500-4000|Gordon V. Cormack,Hugh C. Williams}}
 
{{HistC|1979|1500-4000|Gordon V. Cormack,Hugh C. Williams}}
 
{{HistF|1979|2733|Gordon V. Cormack,Hugh C. Williams}}
 
{{HistF|1979|2733|Gordon V. Cormack,Hugh C. Williams}}

Latest revision as of 13:32, 26 May 2024

Current data

k , b : 21 , 2
Type : 3
Count : 48
Nash : 2374
Max n : 9,000,000
Date : 2021-04-01
1[1], 4[2], 5[3], 7[4], 9[5], 12[6], 16[7], 17[8], 41[9], 124[10], 128[11], 129[12], 187[13], 209[14], 276[15], 313, 397[16], 899[17], 1532[18], 1613[19], 1969[20], 2245[21], 2733[22], 4585[23], 4644[24], 6712, 6981[25], 13344[26], 17524[27], 27124[28], 29769[29], 47337[30], 55828[31], 91008[32], 94801[33], 164901[34], 179457, 191337[35], 200568[36], 220992[37], 686632[38], 856865[39], 1022168[40], 1240067[41], 1421741[42], 1830919[43], 3065701[44], 6048861[45]
Remarks :
The sequence A032360 in OEIS

Notes

  1. ↑ Twin n=1
  2. ↑ Is GF Divisor of xGF(3,11,7)
  3. ↑ Is GF Divisor of GF(3,8) [+2]
  4. ↑ Is GF Divisor of xGF(5,7,5) [+2], Twin n=7
  5. ↑ Is GF Divisor of GF(8,10) [+1]
  6. ↑ Is GF Divisor of xGF(11,10,9) [+2]
  7. ↑ Is GF Divisor of xGF(12,7,4) [+1]
  8. ↑ Is GF Divisor of xGF(14,3,2) [+2]
  9. ↑ Is GF Divisor of F(39) [+29]
  10. ↑ Is GF Divisor of GF(120,8) [+1]
  11. ↑ Is GF Divisor of GF(126,8)
  12. ↑ Is GF Divisor of xGF(128,7,5)
  13. ↑ Is GF Divisor of xGF(182,6,5) [+5]
  14. ↑ Is GF Divisor of xGF(207,8,3) [+1]
  15. ↑ Is GF Divisor of F(268) [+1]
  16. ↑ Is GF Divisor of xGF(396,7,5) [+2]
  17. ↑ Is GF Divisor of xGF(897,9,5)
  18. ↑ Is GF Divisor of GF(1530,8) [+1]
  19. ↑ Is GF Divisor of xGF(1608,7,2) [+3]
  20. ↑ Is GF Divisor of GF(1966,3) [+5]
  21. ↑ Is GF Divisor of xGF(2244,11,6)
  22. ↑ Is GF Divisor of xGF(2731,3,2) [+7]
  23. ↑ Is GF Divisor of GF(4582,8)
  24. ↑ Is GF Divisor of GF(4642,6) [+1]
  25. ↑ Is GF Divisor of xGF(6980,5,2) [+5]
  26. ↑ Is GF Divisor of xGF(13343,5,4)
  27. ↑ Is GF Divisor of xGF(17523,11,4)
  28. ↑ Is GF Divisor of xGF(27121,3,2) [+1]
  29. ↑ Is GF Divisor of GF(29767,7) [+2]
  30. ↑ Is GF Divisor of xGF(47331,9,8) [+1]
  31. ↑ Is GF Divisor of GF(55826,8) [+1]
  32. ↑ Is GF Divisor of xGF(91006,9,7) [+1]
  33. ↑ Is GF Divisor of F(94798)
  34. ↑ Is GF Divisor of xGF(164897,7,6) [+2]
  35. ↑ Is GF Divisor of xGF(191336,7,5) [+2]
  36. ↑ Is GF Divisor of xGF(200565,11,4)
  37. ↑ Is GF Divisor of xGF(220991,5,4) [+1]
  38. ↑ Is GF Divisor of xGF(686629,3,2)
  39. ↑ Is GF Divisor of xGF(856860,4,3) [+3]
  40. ↑ Is GF Divisor of GF(1022165,8) [+2]
  41. ↑ Is GF Divisor of xGF(1240064,3,2) [+5]
  42. ↑ Is GF Divisor of GF(1421740,11) [+1]
  43. ↑ Is GF Divisor of xGF(1830917,9,7)
  44. ↑ Is GF Divisor of xGF(3065699,9,7) [+1]
  45. ↑ Is GF Divisor of GF(6048860,5) [+4]

History

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