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Difference between revisions of "Proth prime 2 5"

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{{Proth prime
 
{{Proth prime
 
|Pk=5
 
|Pk=5
 +
|Pb=2
 +
|PCount=25
 
|PNash=891
 
|PNash=891
−
|PMaxn=6000000
+
|PMaxn=9000000
−
|PDate=2009-08-07
+
|PDate=2024-09-06
−
|PReserved=
+
|PReserved=Ryan Propper
 +
|PMultiRes=
 
|PNlist=
 
|PNlist=
 
1
 
1
−
3
+
3;T:G
−
7;C:Divides: F(5), GF(5,5), GF(4,10)
+
7;T:G
−
13;C:Divides: GF(12,12)
+
13;T:G
−
15;C:Divides: GF(13,5), GF(14,12)
+
15;T:G;C:{{NCu|8|5}}
−
25;C:Divides: F(23), GF(23,5), GF(20,10)
+
25;T:G;C:{{NCu|32|5}}
−
39;C:Divides: F(36), GF(36,5), GF(35,10)
+
39;T:G
−
55;C:Divides: GF(54,3), GF(53,5)
+
55;T:G;C:{{NCu|2048|5}}
−
75;C:Divides: F(73), GF(73,5), GF(72,10)
+
75;T:G;C:{{NCu|32768|5}}
−
85;C:Divides: GF(82,5)
+
85;T:G;C:{{NCu|131072|5}}, {{NCu|-|2|81}},
−
127;C:Divides: F(125), GF(126,3), GF(125,5), GF(126,6), GF(124,10), GF(126,12)
+
127;T:G
−
1947;C:Divides: F(1945), GF(1945,5), GF(1944,10)
+
1947;T:G
−
3313;C:Divides: F(3310), GF(3310,5), GF(3306,10)
+
3313;T:G
−
4687;40235;C:Divides: GF(4686,6)
+
4687;40235;T:G
−
5947;37932;C:Divides: GF(5946,12)
+
5947;37932;T:G
−
13165;27519;C:Divides: GF(13164,3), GF(13161,5)
+
13165;27519;T:G
−
23473;21284;C:Divides: F(23471), GF(23471,5), GF(23467,10)
+
23473;21284;T:G
−
26607;19507;C:Divides: GF(26606,12)
+
26607;19507;T:G
−
125413;2598;C:Divides: F(125410), GF(125410,5), GF(125408,10)
+
125413;2598;T:G
−
209787;410
+
209787;410;T:G
−
240937;320;C:Divides: GF(240936,3)
+
240937;320;T:G
−
819739;24;C:Divides: GF(819738,3)
+
819739;24;T:G
−
1282755;13;C:Divides: GF(1282754,3), GF(1282748,5)
+
1282755;13;T:G
−
1320487;9;C:Divides: GF(1320486,12)
+
1320487;9;T:G
−
1777515;74133;C:Divides: GF(1777511,5), GF(1777514,6)
+
1777515;74133;T:G
−
|PRemarks=
+
|PRemarks=The {{OEIS|l|A002254}}
 
}}
 
}}
 +
==History==
 +
{{HistR|2024-09-06|Ryan Propper}}
 +
{{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}}
 +
{{HistF|2005-04-14|1777515|Senji Yamashita,Satoshi Noda,Takahiro Nohara}}
 +
{{HistF|2002-03-20|1320487|Manfred Toplic}}
 +
{{HistF|2002-06-03|1282755|Manfred Toplic}}
 +
{{HistF|2001-07-23|819739|Manfred Toplic}}
 +
{{HistF|1997-05|240937|Jeffrey Young}}
 +
{{HistF|1997-05|209787|Jeffrey Young}}
 +
{{HistF|1995-08|125413|Jeffrey Young}}
 +
{{HistF|1992|26607|Harvey Dubner}}
 +
{{HistF|1984|23473|Wilfrid Keller}}
 +
{{HistF|1979|13165|Wilfrid Keller}}
 +
{{HistC|1979|2000-10000|Gordon V. Cormack,Hugh C. Williams}}
 +
{{HistF|1979|5947|Gordon V. Cormack,Hugh C. Williams}}
 +
{{HistF|1979|4687|Gordon V. Cormack,Hugh C. Williams}}
 +
{{HistF|1979|3313|Gordon V. Cormack,Hugh C. Williams}}

Latest revision as of 00:57, 1 November 2024

Reserved! This sequence is currently reserved by: Ryan Propper

Current data

k , b : 5 , 2
Type : Low
Count : 25
Nash : 891
Max n : 9,000,000
Date : 2024-09-06
Reserved : Ryan PropperRyan Propper/Reserved
1, 3[1], 7[2], 13[3], 15[4], 25[5], 39[6], 55[7], 75[8], 85[9], 127[10], 1947[11], 3313[12], 4687[13], 5947[14], 13165[15], 23473[16], 26607[17], 125413[18], 209787[19], 240937[20], 819739[21], 1282755[22], 1320487[23], 1777515[24]
Remarks :
The sequence A002254 in OEIS

Notes

  1. ↑ Is GF Divisor of xGF(2,11,8) [+2]
  2. ↑ Is GF Divisor of F(5) [+7]
  3. ↑ Is GF Divisor of xGF(10,5,4) [+8]
  4. ↑ Is GF Divisor of GF(13,5) [+12], Cullen 5•85+1
  5. ↑ Is GF Divisor of F(23) [+8], Cullen 5•325+1
  6. ↑ Is GF Divisor of F(36) [+8]
  7. ↑ Is GF Divisor of GF(54,3) [+5], Cullen 5•20485+1
  8. ↑ Is GF Divisor of F(73) [+6], Cullen 5•327685+1
  9. ↑ Is GF Divisor of xGF(84,4,3) [+5], Cullen 5•1310725+1, Near Cullen 80•281+1,
  10. ↑ Is GF Divisor of F(125) [+19]
  11. ↑ Is GF Divisor of F(1945) [+11]
  12. ↑ Is GF Divisor of F(3310) [+8]
  13. ↑ Is GF Divisor of GF(4686,6) [+7]
  14. ↑ Is GF Divisor of xGF(5946,5,3) [+8]
  15. ↑ Is GF Divisor of GF(13164,3) [+9]
  16. ↑ Is GF Divisor of F(23471) [+11]
  17. ↑ Is GF Divisor of xGF(26606,5,3) [+9]
  18. ↑ Is GF Divisor of F(125410) [+12]
  19. ↑ Is GF Divisor of xGF(209786,3,2) [+8]
  20. ↑ Is GF Divisor of GF(240936,3) [+6]
  21. ↑ Is GF Divisor of GF(819738,3) [+6]
  22. ↑ Is GF Divisor of GF(1282754,3) [+6]
  23. ↑ Is GF Divisor of xGF(1320486,5,3) [+7]
  24. ↑ Is GF Divisor of GF(1777511,5) [+7]

History

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