A354590 a(n) is the first prime that is the start of a sequence of exactly n consecutive primes that are in A354589.

11, 47, 251, 9431, 191, 19457, 280627, 2213, 1006253, 9129563, 66945301, 184171621, 726512053, 2732087209, 10206934519, 59883612989, 25650350371

Offset

1,1

Links

Table of n, a(n) for n=1..17.

Example

a(3) = 251 because the 4 primes starting with 251 are 251, 257, 263, 269, and 251, 257 and 263 are in A354589 but 269 is not; and 251 is the least prime for which this works.

Maple

P:= select(isprime, [seq(i, i=1..10^7, 2)]):
nP:= nops(P);
P10:= P mod 10:
s:= 0: V:= Vector(10):
for i from 1 to nP-3 do
  if convert(P10[i..i+3], set) = {1, 3, 7, 9} then s:= s+1
  else
    if s > 0 and s <= 10 and V[s] = 0 then V[s]:= P[i-s] fi;
    s:= 0
  fi
od:
convert(V, list);

Crossrefs

Cf. A007652, A354589.

Sequence in context: A123984 A141282 A336181 * A067355 A138362 A191499

Adjacent sequences: A354587 A354588 A354589 * A354591 A354592 A354593

Keyword

nonn,more,base

Author

J. M. Bergot and Robert Israel, Aug 18 2022

Extensions

a(11)-a(14) from Michael S. Branicky, Aug 18 2022

a(15)-a(17) from Michael S. Branicky, Aug 20 2022

Status

approved