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A245458
a(n) = ((prime(n)-2)!+2) mod prime(n)# (cf. A002110).
2
1, 3, 8, 122, 212, 6932, 450452, 9189182, 193993802, 2677114442, 116454478142, 5415133233512, 51945166943672, 1521251317636052, 562558737261811292, 1229779565176982822, 130356633908760178922, 19227603501542126390702, 4456958491657464897364262
OFFSET
1,2
COMMENTS
Smallest positive residue modulo p_1*...*p_n (cf. A002110) of (p_n-2)!+2, where p_n=prime(n).
See comment in A245460.
LINKS
Jens Kruse Andersen, Table of n, a(n) for n = 1..100
V. Shevelev, Theorems on twin primes-dual case, arXiv:0912.4006 (Sections 10,11,14-18)
MATHEMATICA
a[n_] := Mod[(Prime[n]-2)! + 2, Product[Prime[i], {i, 1, n}]];
Array[a, 19] (* Jean-François Alcover, Dec 15 2018 *)
PROG
(PARI) a(n) = ((prime(n)-2)!+2) % prod(i=1, n, prime(i)) \\ Jens Kruse Andersen, Jul 22 2014
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Shevelev, Jul 22 2014
EXTENSIONS
More terms and simpler definition from Jens Kruse Andersen, Jul 22 2014
STATUS
approved