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Difference between revisions of "Proth prime 2 49"

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(oeis)
 
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|Pk=49
 
|Pk=49
 
|Pb=2
 
|Pb=2
−
|PCount=25
+
|PCount=26
 
|PNash=1209
 
|PNash=1209
 
|PMaxn=9000000
 
|PMaxn=9000000
−
|PDate=2021-04-01
+
|PDate=2022-09-11
 
|PReserved=
 
|PReserved=
 
|PMultiRes=
 
|PMultiRes=
Line 34: Line 34:
 
1646042;100949;T:G
 
1646042;100949;T:G
 
3837090;129947;T:G
 
3837090;129947;T:G
−
|PRemarks=For all {{Vn}}-values {{Kbn|+|49|2|n}} is a [[Generalized Fermat number]].
+
9187790;134376;T:G
 +
|PRemarks=The {{OEIS|l|A032374}}<br>
 +
For all {{Vn}}-values {{Kbn|+|49|2|n}} is a [[Generalized Fermat number]].
 
|PSieve=
 
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
 +
{{HistF|2022-09-11|9187790|Ryan Propper}}
 
{{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}}
 
{{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}}
 
{{HistF|2019-09-22|3837090|Sean Matheis,PrimeGrid Fermat Divisor Search}}
 
{{HistF|2019-09-22|3837090|Sean Matheis,PrimeGrid Fermat Divisor Search}}
 +
{{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
 
{{HistF|2011-07-31|1646042|Marc Koschewski,PrimeGrid Proth Prime Search}}
 
{{HistF|2011-07-31|1646042|Marc Koschewski,PrimeGrid Proth Prime Search}}
 
{{HistF|2009-04-14|1103430|Steven Harvey,PrimeGrid Proth Prime Search}}
 
{{HistF|2009-04-14|1103430|Steven Harvey,PrimeGrid Proth Prime Search}}

Latest revision as of 13:54, 26 May 2024

Current data

k , b : 49 , 2
Count : 26
Nash : 1209
Max n : 9,000,000
Date : 2022-09-11
2, 6, 10, 30[1], 42[2], 54, 66[3], 118, 390[4], 594[5], 1202, 2334, 6242[6], 7446[7], 11858[8], 48666[9], 68050[10], 72210, 88090[11], 113022[12], 406814[13], 501238[14], 1103430[15], 1646042[16], 3837090[17], 9187790[18]
Remarks :
The sequence A032374 in OEIS

For all n-values 49•2n+1 is a Generalized Fermat number.

Notes

  1. ↑ Is GF Divisor of xGF(27,6,5) [+2]
  2. ↑ Is GF Divisor of xGF(41,5,4)
  3. ↑ Is GF Divisor of xGF(65,9,5)
  4. ↑ Is GF Divisor of xGF(381,7,2)
  5. ↑ Is GF Divisor of xGF(593,12,11)
  6. ↑ Is GF Divisor of xGF(6236,11,3)
  7. ↑ Is GF Divisor of xGF(7434,7,2)
  8. ↑ Is GF Divisor of GF(11852,7) [+1]
  9. ↑ Is GF Divisor of xGF(48664,5,3)
  10. ↑ Is GF Divisor of xGF(68048,9,7)
  11. ↑ Is GF Divisor of xGF(88089,11,2)
  12. ↑ Is GF Divisor of xGF(113021,8,5) [+1]
  13. ↑ Is GF Divisor of xGF(406813,7,3)
  14. ↑ Is GF Divisor of xGF(501235,10,3)
  15. ↑ Is GF Divisor of xGF(1103426,10,3) [+1]
  16. ↑ Is GF Divisor of xGF(1646041,5,4)
  17. ↑ Is GF Divisor of xGF(3837084,7,2) [+1]
  18. ↑ Is GF Divisor of xGF(9187786,7,4)

History

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