[seqfan] k^n - m^k

юрий герасимов 2stepan at rambler.ru
Sun Aug 10 21:12:15 CEST 2014


Heillo, SeqFans..

Number of primes of the form k^n - m^k for all k and for all m: 0, 0, 1, 6, 7, 2, 13, 7, 

a(9) = 11 ? 

a(10) = 10 ?? 

a(11) = 33 ???

Magma calculator 1? Example:

Primes of the form k*3 - m^k : 19.

Primes of the form k^4 -m^k: 7, 17, 73, 593, 2273, 20369, . 

Primes of the form k^5 - m^k: 4818617, 24006497. 

Primes of the form k^6 - m^k: 7, 47, 79, 103, 1187, 2179, 77101, 162297, 543607, 1706527, 9949851, 5069961193, 25365130463.

Thanks.

JSG


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