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A161784 Product of primes on successive square intervals. 0

%I #10 Aug 16 2022 15:19:11

%S 6,35,143,7429,899,3065857,190747,27433619,716539,13710311357,

%T 316818391,96153908803,206618110301,1844618759,175107974924611,

%U 108538288030848139,2775683761181,1711914026665907,3068689788020071,2370246348458581727,4340108409515894501,8324078717718009703

%N Product of primes on successive square intervals.

%F a(n) = Product_{p in A000040, n^2<p<(n+1)^2} p. [_R. J. Mathar_, May 31 2010]

%e The first square interval is (1,4). The primes on this interval are 2,3, whose product is 6, the first term in the sequence.

%o (PARI) a(n) = vecprod(setminus(primes(primepi((n+1)^2)), primes(primepi(n^2)))); \\ _Michel Marcus_, Aug 16 2022

%Y Cf. A014085 (number of primes in these intervals).

%K easy,nonn

%O 1,1

%A _Daniel Tisdale_, Jun 19 2009

%E More terms from _R. J. Mathar_, May 31 2010

%E More terms from _Michel Marcus_, Aug 16 2022

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Last modified September 10 06:17 EDT 2024. Contains 375773 sequences. (Running on oeis4.)