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A081982

Primes p such that p+1 is divisible by the digital product (of nonzero digits) of p.

11, 23, 101, 113, 131, 167, 211, 233, 311, 431, 863, 1013, 1021, 1031, 1061, 1103, 1201, 1217, 1223, 1259, 1301, 1601, 1619, 1637, 1721, 1823, 2003, 2011, 2111, 2687, 3011, 3023, 3203, 4111, 4703, 6011, 6047, 6101, 6173, 6263, 6911, 7013

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OFFSET

1,1

COMMENTS

Contains A020449 and A107612 (except 2). - Robert Israel, Nov 09 2017

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

167 is a term as 168 is divisible by 1*6*7 = 42.

MAPLE

filter:= proc(n)

isprime(n) and

n+1 mod convert(subs(0=NULL, convert(n, base, 10)), `*`) = 0

end proc:

select(filter, [seq(i, i=3..10000, 2)]); # Robert Israel, Nov 09 2017

PROG

(PARI) isok(p) = isprime(p) && (d=digits(p)) && !((p+1) % prod(k=1, #d, if (d[k], d[k], 1))); \\ Michel Marcus, Nov 09 2017

CROSSREFS

Cf. A020449, A081981, A081983, A081984, A081986, A081987, A107612, A101987.

Sequence in context: A145918 A077707 A081981 * A092558 A294255 A088777

Adjacent sequences: A081979 A081980 A081981 * A081983 A081984 A081985

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy, Apr 04 2003

EXTENSIONS

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 06 2003

STATUS

approved

URL: https://oeis.org/A081982

⇱ A081982 - OEIS