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A344477 Primes that occur as p - (digit product of p) for p in A228139. 1
11, 17, 19, 31, 37, 59, 113, 173, 179, 193, 199, 211, 227, 233, 239, 241, 257, 263, 307, 311, 317, 331, 383, 389, 397, 419, 439, 479, 499, 521, 547, 563, 571, 577, 613, 617, 659, 691, 719, 733, 1117, 1153, 1171, 1193, 1201, 1213, 1279, 1319, 1399, 1447, 1483, 1493, 1511, 1531, 1543, 1609, 1871 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Terms are unique and in numerical order.

There are terms that correspond to more than one member of A228139, such as 17 = 23-2*3 = 89-8*9.

LINKS

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

EXAMPLE

a(5) = 37 is a term because 41 is prime with no digit 0 and 37 = 41-4*1.

MAPLE

d:= 4: # to get terms with at most d digits

M:= 10^d + 9^d:

f:= proc(n) local L, v;

  L:= convert(n, base, 10);

  if member(0, L) then return NULL fi;

  if isprime(n) then

    v:= n - convert(L, `*`);

    if isprime(v) then v fi

  fi

end proc:

sort(convert(select(`<`, map(f, {seq(i, i=11..M, 2)}), 10^d), list));

CROSSREFS

Cf. A228139, A344466.

Sequence in context: A111257 A032677 A225677 * A230654 A226686 A217055

Adjacent sequences:  A344474 A344475 A344476 * A344478 A344479 A344480

KEYWORD

nonn,base

AUTHOR

J. M. Bergot and Robert Israel, May 20 2021

STATUS

approved

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Last modified December 5 06:52 EST 2021. Contains 349543 sequences. (Running on oeis4.)