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A208549 Numbers m such that 2520*m/k + 1 is a prime for k = 1,...,7. 2

%I #8 Mar 30 2012 17:23:05

%S 2189,7208,20538,69632,127790,265375,341267,461849,621457,1453179,

%T 1700469,1828994,1837608,2114852,2222674,2354838,2826692,2905552,

%U 2933084,3162302,3466663,3972552,3996543,4535984,5382039,6192528,6392223

%N Numbers m such that 2520*m/k + 1 is a prime for k = 1,...,7.

%C Equivalently, 7!*m/2+k equals k times a prime, for k=1,...,7. The primes 2520m+1 are listed in A207825, and are also the terms of the sequence A071369 which end in the digit "1".

%F A208549(n) = (A207825(n)-1)/2520.

%o (PARI) {my(p=1); until(, isprime(p+=2520) | next; for(j=2,7, isprime(p\j+1)|next(2)); print1(p\2520", "))}

%K nonn

%O 1,1

%A _M. F. Hasler_, Feb 28 2012

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Last modified July 17 12:04 EDT 2024. Contains 374377 sequences. (Running on oeis4.)