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A342801

Primes p such that, if b is the sum of digits of p, y = p mod b and x = (p-y)/b, then p-x*y, p+x*y, x+y and x-y are all prime.

127, 173, 181, 257, 281, 359, 563, 569, 577, 719, 751, 1061, 1381, 1879, 1901, 4327, 4759, 5441, 6397, 6977, 7207, 7933, 8387, 8419, 8521, 9349, 10009, 10891, 11311, 11443, 11467, 12323, 13567, 13873, 14369, 14929, 15299, 15683, 16073, 17351, 18041, 18749, 24407, 24481, 24767, 25819, 27067, 27739

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OFFSET

1,1

LINKS

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

EXAMPLE

a(3) = 181 is a term because 181 is prime, with sum of digits b=10, y=1, x=18, and n-x*y=163, n+x*y=199, x+y=19, and x-y=17 are all prime.

MAPLE

filter:= proc(n) local b, x, y;

if not isprime(n) then return false fi;

b:= convert(convert(n, base, 10), `+`);

if b <= 1 then return false fi;