A352966 Primes of the form A321513(k) + 1 for some k > 0.

11, 43, 103, 131, 137, 239, 521, 547, 683, 911, 1093, 1171, 1301, 1543, 1951, 2081, 2341, 2731, 2861, 3121, 3251, 3511, 3823, 6151, 9767, 12301, 13879, 16963, 17477, 18451, 20047, 21589, 23131, 24967, 26729, 30841, 32771, 32801, 33289, 34439, 36901, 40093

Offset: 1

Author

Felix Fröhlich, Apr 12 2022

Keywords

• nonn
• base

Comments

Contains the two known Wieferich primes (A001220), i.e., 1093 and 3511.

Is A001220 a subsequence?

Examples

			1543 is prime and 1542 is 120012 in base 4, which is 00120012 when leading zeros are added and thus periodic, so 1543 is a term of the sequence.
		

Crossrefs

Cf. A001220, A321513.

Programs

PARI

is(n, b=4) = for (w=1, oo, my (d=digits(n, b^w)); if (#d<=1, return (0), #Set(d)==1, return (1))) \\ after Rémy Sigrist in A321513
forprime(p=1, 1e5, if(is(p-1), print1(p, ", ")))