A343976 Primes that are the sum of two consecutive terms of A093641.

3, 5, 7, 11, 13, 23, 47, 71, 109, 131, 139, 181, 193, 229, 251, 281, 349, 379, 383, 401, 419, 461, 499, 659, 701, 709, 761, 821, 859, 911, 919, 1021, 1091, 1129, 1231, 1259, 1399, 1451, 1489, 1549, 1709, 1721, 1759, 1811, 1861, 1871, 1931, 2029, 2081, 2113, 2141, 2179, 2221, 2293, 2339, 2399

Offset: 1

Author

J. M. Bergot and Robert Israel, May 06 2021

Keywords

• nonn

Comments

Any term of A093641 that is the sum of two consecutive terms of A093641 is prime.

Examples

			a(10) = 131 is a term because 131 = 64+67 = A093641(43)+ A093641(44) and is prime.
		

Links

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

Crossrefs

Cf. A093641.

Programs

Maple

N:= 10^4: # for terms <= N
R:= seq(2^i,i=0..ilog2(N/2)):
p:= 3:
while p <= N/2 do
  R:= R, seq(p*2^i,i=0..floor(log[2](N/2/p)));
  p:= nextprime(p);
od:
R:= sort([R]):
select(isprime,R);