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%I #11 Mar 27 2024 07:59:32
%S 22111003847,25782283783,34824831403,42970472971,44905511759,
%T 45490491349,52486961911,54560052479,55437374381,65803884467,
%U 66333011539
%N Primes of Erdős-Selfridge class 16-.
%C Knowledge of a(k), k=1..9 allows us to establish A056637(17) = 1 + 2*a(9) = 110874748763.
%H <a href="/index/Pri#primes_Erdos_Selfridge">Index entries for sequences related to the Erdos-Selfridge classification</a>
%F { a(n) } = { p=1+2*k*A129249(n); n=1,2,3..., k=1,2,3... such that p is prime and k has no factor of class > 15- }.
%o (PARI) nextclass( a, s=-1, p, n=[] )={ if( !p, p=nextprime(a[ #a]+1)); print("Computing all primes of next class up to ",2*p-s ); for( i=1,#a, for( k=1,p/a[i], if( is/*pseudo*/prime(2*k*a[i]-s), n=concat(n,2*k*a[i]-s); ) ) ); vecsort(n) }; A129250=nextclass(A129249)
%Y Cf. A056637, A081640, A081641, A129248, A129249.
%K more,nonn
%O 1,1
%A _M. F. Hasler_, Apr 21 2007
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