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Difference between revisions of "Proth prime 2 289"

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1522650;110774
 
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|PRemarks=The {{OEIS|l|A053361}}<br>
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|PRemarks=The {{OEIS|l|A053361}}<br>For all {{Vn}}-values {{Kbn|+|289|2|n}} is a [[Generalized Fermat number]].
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All primes are also [[Generalized Fermat number#Special conditions for Proth primes|Generalized Fermat primes]].
 
 
|PSieve=
 
|PSieve=
 
}}
 
}}

Latest revision as of 21:00, 13 September 2024

Current data

k , b : 289 , 2
Type : Low
Count : 21
Nash : 990
Max n : 5,000,000
Date : 2024-04-30
10, 22, 34[1], 42[2], 150[3], 1758, 6706, 11634, 18502[4], 52614, 102150, 194830, 207546, 252858, 333406, 638902, 989182[5], 1117182, 1317378, 1522650, 4911870
Remarks :
The sequence A053361 in OEIS
For all n-values 289•2n+1 is a Generalized Fermat number.

Notes

  1. ↑ Is GF Divisor of xGF(31,10,3)
  2. ↑ Is GF Divisor of xGF(41,11,8)
  3. ↑ Is GF Divisor of xGF(148,12,5)
  4. ↑ Cullen, Cullen 18496•218496+1
  5. ↑ Is GF Divisor of xGF(989181,3,2)

History

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