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Difference between revisions of "Proth prime 2 25"

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(hist 1979)
(add near Cullen prime)
 
(5 intermediate revisions by 3 users not shown)
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|Pk=25
 
|Pk=25
 
|Pb=2
 
|Pb=2
−
|PCount=45
+
|PCount=46
 
|PNash=2198
 
|PNash=2198
−
|PMaxn=1780000
+
|PMaxn=9000000
−
|PDate=2021-03-01
+
|PDate=2022-09-21
 
|PReserved=
 
|PReserved=
 
|PMultiRes=
 
|PMultiRes=
 
|PNlist=
 
|PNlist=
 
2
 
2
−
4
+
4;T:G
−
6
+
6;T:G
−
10
+
10;T:G
 
20
 
20
 
22
 
22
−
52
+
52;T:G;C:{{NCu|-|2|51}}
−
64
+
64;T:G
−
78
+
78;T:G
−
184
+
184;T:G
−
232
+
232;T:G
 
268
 
268
−
340
+
340;T:G
−
448
+
448;T:G
 
554
 
554
−
664
+
664;T:G
−
740
+
740;T:G
−
748
+
748;T:G
−
1280
+
1280;T:G
−
1328
+
1328;T:G
−
1640
+
1640;T:G
−
3314;58888
+
3314;58888;T:G
−
3904;48403
+
3904;48403;T:G
−
3938;47836
+
3938;47836;T:G
−
5152;38823
+
5152;38823;T:G
 
9522;29933
 
9522;29933
−
57488;11007
+
57488;11007;T:G
−
66872;8610
+
66872;8610;T:G
−
148060;1332
+
148060;1332;T:G
−
154254;1226
+
154254;1226;T:G
−
216092;391
+
216092;391;T:G
−
302194;67208
+
302194;67208;T:G
−
367294;69580
+
367294;69580;T:G
−
627710;69798
+
627710;69798;T:G
−
966414;70183
+
966414;70183;T:G
−
1211488;73208
+
1211488;73208;T:G
−
1258562;72576
+
1258562;72576;T:G
 
1298186;74533
 
1298186;74533
−
2141884;101943
+
2141884;101943;T:G
 
2583690;113940
 
2583690;113940
−
2927222;113945
+
2927222;113945;T:G
−
3733144;129942
+
3733144;129942;T:G
−
4481024;130014
+
4481024;130014;T:G
−
8456828;131626
+
8456828;131626;T:G
 
8788628;132108;T:G
 
8788628;132108;T:G
−
|PRemarks=
+
13719266;134407;T:G
 +
|PRemarks=The {{OEIS|l|A032362}}<br>For all {{Vn}}-values {{Kbn|+|25|2|n}} is a [[Generalized Fermat number]].
 
|PSieve=
 
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
−
{{HistF|2021-03-01|8788628|Tom Greer,PrimeGrid}} ([https://www.primegrid.com/download/DIV-8788628.pdf Official Announcement])
+
{{HistF|2022-09-21|13719266|Ryan Propper}}
 +
{{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}}
 +
{{HistF|2021-03-01|8788628|Tom Greer,PrimeGrid Fermat Divisor Search}} ([https://www.primegrid.com/download/DIV-8788628.pdf Official announcement])
 +
{{HistF|2021-01-28|8456828|Wolfgang Schwieger,PrimeGrid Fermat Divisor Search}} ([http://www.primegrid.com/download/DIV-8456828.pdf Official announcement])
 +
{{HistF|2019-10-12|4481024|Will Steinbach,PrimeGrid Fermat Divisor Search}}
 +
{{HistF|2019-09-18|3733144|Tom Greer,PrimeGrid Fermat Divisor Search}}
 +
{{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
 +
{{HistF|2013-04-22|2927222|Rick Channing,PrimeGrid Proth Prime Search}}
 +
{{HistF|2013-04-20|2583690|Håkan Lind,PrimeGrid Proth Prime Search}}
 +
{{HistF|2011-09-12|2141884|Grzegorz Granowski,PrimeGrid Proth Prime Search}}
 +
{{HistF|2005-05-19|1298186|Curtis Cooper}}
 +
{{HistF|2005-01-20|1211488|Curtis Cooper}}
 +
{{HistF|2004-12-02|1258562|Curtis Cooper}}
 +
{{HistF|2004-05-06|966414|Curtis Cooper}}
 +
{{HistF|2004-04-10|627710|Curtis Cooper}}
 +
{{HistF|2004-03-24|367294|Curtis Cooper}}
 +
{{HistF|2003-11-15|302194|Payam Samidoost}}
 +
{{HistF|2001-01-17|216092|Nestor Sergio de Araujo Melo}}
 +
{{HistF|1999-11-28|148060|Sturle Sunde}}
 +
{{HistF|1999-09-10|154254|Peter Dodson}}
 +
{{HistF|1995-08|66872|Jeffrey Young}}
 +
{{HistF|1995-08|57488|Jeffrey Young}}
 +
{{HistF|1983|9522|Wilfrid Keller}}
 +
{{HistF|1983|5152|Wilfrid Keller}}
 
{{HistC|1979|1500-4000|Gordon V. Cormack,Hugh C. Williams}}
 
{{HistC|1979|1500-4000|Gordon V. Cormack,Hugh C. Williams}}
 
{{HistF|1979|3938|Gordon V. Cormack,Hugh C. Williams}}
 
{{HistF|1979|3938|Gordon V. Cormack,Hugh C. Williams}}

Latest revision as of 01:37, 27 September 2024

Current data

k , b : 25 , 2
Count : 46
Nash : 2198
Max n : 9,000,000
Date : 2022-09-21
2, 4[1], 6[2], 10[3], 20, 22, 52[4], 64[5], 78[6], 184[7], 232[8], 268, 340[9], 448[10], 554, 664[11], 740[12], 748[13], 1280[14], 1328[15], 1640[16], 3314[17], 3904[18], 3938[19], 5152[20], 9522, 57488[21], 66872[22], 148060[23], 154254[24], 216092[25], 302194[26], 367294[27], 627710[28], 966414[29], 1211488[30], 1258562[31], 1298186, 2141884[32], 2583690, 2927222[33], 3733144[34], 4481024[35], 8456828[36], 8788628[37], 13719266[38]
Remarks :
The sequence A032362 in OEIS
For all n-values 25•2n+1 is a Generalized Fermat number.

Notes

  1. ↑ Is GF Divisor of xGF(3,3,2)
  2. ↑ Is GF Divisor of xGF(4,9,2)
  3. ↑ Is GF Divisor of xGF(8,9,2)
  4. ↑ Is GF Divisor of GF(48,10) [+1], Near Cullen 50•251+1
  5. ↑ Is GF Divisor of xGF(63,6,5)
  6. ↑ Is GF Divisor of xGF(77,3,2) [+2]
  7. ↑ Is GF Divisor of xGF(183,5,3) [+1]
  8. ↑ Is GF Divisor of xGF(230,9,2)
  9. ↑ Is GF Divisor of xGF(338,9,5)
  10. ↑ Is GF Divisor of xGF(439,5,2) [+2]
  11. ↑ Is GF Divisor of xGF(662,7,2) [+1]
  12. ↑ Is GF Divisor of xGF(738,9,8) [+1]
  13. ↑ Is GF Divisor of xGF(742,5,2) [+1]
  14. ↑ Is GF Divisor of xGF(1278,9,8) [+1]
  15. ↑ Is GF Divisor of xGF(1324,12,11)
  16. ↑ Is GF Divisor of xGF(1638,7,3) [+1]
  17. ↑ Is GF Divisor of xGF(3312,11,8)
  18. ↑ Is GF Divisor of GF(3903,6) [+2]
  19. ↑ Is GF Divisor of xGF(3934,12,11)
  20. ↑ Is GF Divisor of GF(5147,10)
  21. ↑ Is GF Divisor of xGF(57484,5,2) [+2]
  22. ↑ Is GF Divisor of xGF(66871,4,3) [+1]
  23. ↑ Is GF Divisor of xGF(148059,7,6) [+1]
  24. ↑ Is GF Divisor of xGF(154252,7,3) [+1]
  25. ↑ Is GF Divisor of xGF(216091,11,10)
  26. ↑ Is GF Divisor of xGF(302187,8,5)
  27. ↑ Is GF Divisor of xGF(367288,8,5)
  28. ↑ Is GF Divisor of xGF(627709,3,2) [+1]
  29. ↑ Is GF Divisor of xGF(966412,11,5)
  30. ↑ Is GF Divisor of GF(1211487,12)
  31. ↑ Is GF Divisor of xGF(1258561,7,2)
  32. ↑ Is GF Divisor of F(2141872) [+5]
  33. ↑ Is GF Divisor of xGF(2927219,7,6) [+1]
  34. ↑ Is GF Divisor of xGF(3733139,8,5) [+1]
  35. ↑ Is GF Divisor of xGF(4481020,8,5) [+1]
  36. ↑ Is GF Divisor of GF(8456827,12)
  37. ↑ Is GF Divisor of xGF(8788627,11,4)
  38. ↑ Is GF Divisor of xGF(13719265,7,5) [+2]

History

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