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

1,1

Comments

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

Links

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

Example

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

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);

Crossrefs

Cf. A093641.

Sequence in context: A088878 A259730 A254673 * A155916 A038979 A179739

Adjacent sequences: A343973 A343974 A343975 * A343977 A343978 A343979

Keyword

nonn

Author

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

Status

approved