A377791 Primes in A194627.

2, 3, 41, 59, 593, 4787, 4937, 8699, 9281, 9491, 44201, 45491, 49429, 59219, 90197, 93251, 93893, 115211, 118661, 136523, 152501, 156467, 166949, 184571, 185477, 189851, 225353, 232091, 236981, 239963, 277577, 364571, 375569, 386731, 428873, 577307, 581941, 662339, 717161, 718931, 758501, 763811

Offset: 1

Author

Robert Israel, Nov 10 2024

Keywords

• nonn

Examples

			a(3) = 41 because the third prime in A194627 is A194627(9) = 41.
		

Links

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

Crossrefs

Cf. A194627, A377882.

Programs

Maple

v:= 1: p:= 0: q:= 0: np:= 0: R:= NULL:
for i from 1 while np < 100 do
  if isprime(v) then p:= p+1; R:= R, v; np:= np+1 else q:= q+1 fi;
  v:= p^2 + q^2 + 1;
od:
R;

Formula

a(n) = A194627(A377882(n)).

a(n) = (n-1)^2 + (A377882(n)-n)^2 + 1.