Search: a273598 -id:a273598
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A273599
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Numbers k such that (11^k - 7^k)/4 is prime.
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+10
3
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5, 19, 67, 107, 593, 757, 1801, 2243, 2383, 6043, 10181, 11383, 15629
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OFFSET
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1,1
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COMMENTS
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All terms are prime.
The corresponding primes: 36061, 15286922888307293287, 1483371444025889427763765389467527889556636442659800720575790059738807, ...
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LINKS
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MATHEMATICA
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Select[Range[1, 10000], PrimeQ[(11^# - 7^#)/4] &]
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PROG
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(PARI) for(n=1, 10000, if(isprime((11^n - 7^n)/4), print1(n, ", ")))
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CROSSREFS
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KEYWORD
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nonn,more,hard
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AUTHOR
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STATUS
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approved
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A273600
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Numbers n such that (11^n - 8^n)/3 is prime.
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+10
3
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OFFSET
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1,1
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COMMENTS
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All terms are prime.
The corresponding primes: 19, 5796673, 92240578673, 167731742895202841, 113345629904382710526197539019199125641, ...
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LINKS
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MATHEMATICA
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Select[Range[1, 10000], PrimeQ[(11^# - 8^#)/3] &]
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PROG
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(PARI) for(n=1, 10000, if(isprime((11^n - 8^n)/3), print1(n, ", ")))
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CROSSREFS
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KEYWORD
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nonn,more,hard
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AUTHOR
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STATUS
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approved
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A273601
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Numbers n such that (11^n - 9^n)/2 is prime.
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+10
3
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OFFSET
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1,1
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COMMENTS
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All terms are prime.
The corresponding primes: 51001, 95780952266636767336259095696501, ...
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LINKS
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MATHEMATICA
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Select[Range[1, 10000], PrimeQ[(11^# - 9^#)/2] &]
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PROG
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(PARI) for(n=1, 10000, if(isprime((11^n - 9^n)/2), print1(n, ", ")))
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CROSSREFS
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KEYWORD
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nonn,more,hard
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AUTHOR
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STATUS
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approved
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