login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A081982 Primes p such that p+1 is divisible by the digital product (of nonzero digits) of p. 6
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 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 12 10:20 EDT 2020. Contains 335657 sequences. (Running on oeis4.)