A233438 Primorial(n) mod compositorial(n), that is, A002110(n) mod A036691(n).

0, 2, 6, 30, 210, 2310, 30030, 510510, 9699690, 223092870, 6469693230, 200560490130, 2153462358810, 72490129383210, 1958274892758030, 58665460642891410, 50035643372444730, 19221664375883039070, 1123712842678138983270, 27456249893723439879090, 350421246400567367415390

Offset

0,2

Comments

The sequence of numbers k such that a(k) > a(k+1) begins: 15, 42, 645, 805, 1566, 5430, 53698, ...

Links

Table of n, a(n) for n=0..20.

Formula

a(n) = A002110(n) mod A036691(n).

Prog

(PARI) a(n)=my(c, p, N); N=n; c=4; p=1; while(n>0, if(!isprime(c), p=p*c; n=n-1); c=c+1); prod(i=1, N, prime(i))%p \\ Ralf Stephan, Dec 21 2013

Crossrefs

Cf. A002110, A036691, A233437, A233448.

Sequence in context: A171989 A335069 A361807 * A002110 A118491 A359960

Adjacent sequences: A233435 A233436 A233437 * A233439 A233440 A233441

Keyword

nonn

Author

Alex Ratushnyak, Dec 09 2013

Status

approved