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Difference between revisions of "Cullen prime 4"

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(simplify remark)
(link at Cullen page)
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48375;5614;C:{{NPr|48375|96750}}, {{NCu|+|96749}}
 
48375;5614;C:{{NPr|48375|96750}}, {{NCu|+|96749}}
 
1740349;136235;C:{{NPr|1740349|3480698}}, {{NCu|+|3480697}}
 
1740349;136235;C:{{NPr|1740349|3480698}}, {{NCu|+|3480697}}
−
|CuRemarks=The {{OEIS|l|A007646}}<br>See additional history at [http://www.loeh.name/guenter/gc/ Generalized Cullen primes] & [http://prothsearch.com/GC-Discoverers.html Discoverers of Generalized Cullen primes].<br>Sequence is the same as [[Cullen prime P 2|Near Cullen ({{Vn}}+1)*2^{{Vn}}+1]] for odd {{Vn}}.
+
|CuRemarks=The {{OEIS|l|A007646}}<br>Sequence is the same as [[Cullen prime P 2|Near Cullen ({{Vn}}+1)*2^{{Vn}}+1]] for odd {{Vn}}.
 
}}
 
}}
 
==History==
 
==History==

Revision as of 06:12, 25 October 2024

Current data

ASCII format : n*4^n+1
Base : 4
Count : 14
Max n : 2,000,000
Date : 2023-07-14
1[1], 3[2], 7[3], 33[4], 67[5], 223[6], 663[7], 912[8], 1383[9], 3777[10], 3972[11], 10669[12], 48375[13], 1740349[14]
Remarks :
The sequence A007646 in OEIS
Sequence is the same as Near Cullen (n+1)*2^n+1 for odd n.

Notes

  1. ↑ Twin n=1, Proth 22+1, Near Cullen 2•21+1
  2. ↑ Twin n=3, Proth 3•26+1, Near Cullen 6•25+1
  3. ↑ Proth 7•214+1, Near Cullen 14•213+1
  4. ↑ Proth 33•266+1, Near Cullen 66•265+1
  5. ↑ Proth 67•2134+1, Near Cullen 134•2133+1
  6. ↑ Proth 223•2446+1, Near Cullen 446•2445+1
  7. ↑ Proth 663•21326+1, Near Cullen 1326•21325+1
  8. ↑ Proth 57•21828+1, Near Cullen 1824•21823+1
  9. ↑ Proth 1383•22766+1, Near Cullen 2766•22765+1
  10. ↑ Proth 3777•27554+1, Near Cullen 7554•27553+1
  11. ↑ Proth 993•27946+1, Near Cullen 7944•27943+1
  12. ↑ Proth 10669•221338+1, Near Cullen 21338•221337+1
  13. ↑ Proth 48375•296750+1, Near Cullen 96750•296749+1
  14. ↑ Proth 1740349•23480698+1, Near Cullen 3480698•23480697+1

History

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