A377465 Exponents of Mersenne primes that are emirps.

13, 17, 31, 107, 1279, 9941, 3021377, 13466917

Offset

1,1

Comments

The just discovered Mersenne exponent 136279841 is also an emirp. However, it cannot be included as the next member of the sequence as there are Mersenne exponents over 70000000 that have not been double checked yet.

Links

Table of n, a(n) for n=1..8.

Eric Weisstein's World of Mathematics, Emirp.

Wikipedia, Emirp.

Example

107 is a term because it is in A000043 and in A006567.

Mathematica

Select[MersennePrimeExponent[Range[48]], PrimeQ[p=FromDigits[Reverse[IntegerDigits[#]]]] && p!=# &] (* Stefano Spezia, Nov 02 2024 *)

Crossrefs

Intersection of A000043 and A006567.

Sequence in context: A370848 A126808 A053009 * A069485 A263725 A340053

Adjacent sequences: A377462 A377463 A377464 * A377466 A377467 A377468

Keyword

nonn,base,more

Author

Rodolfo Ruiz-Huidobro, Oct 29 2024

Status

approved