A046475 Primes that are palindromic in bases 6 and 10.

2, 3, 5, 7, 191, 108151801, 11271517211, 155259838952551, 36599233807670833299563

Offset

1,1

Comments

(The only primes that are palindromic in bases 5 and 10 that have been found are the trivial solutions 2 and 3.)

Links

Table of n, a(n) for n=1..9.

Patrick De Geest, World!Of Palindromic Primes

Example

191_10 = 515_6. - Jon E. Schoenfield, Apr 10 2021

Mathematica

pal6Q[p_]:=With[{idn6=IntegerDigits[p, 6]}, PalindromeQ[p]&&idn6==Reverse[idn6]]; Select[Prime[Range[63*10^5]], pal6Q] (* The program generates the first six terms of the sequence. *) (* Harvey P. Dale, Dec 04 2024 *)

Crossrefs

Intersection of A029974 and A002385.

Subsequence of primes of A029963.

Primes that are palindromic in bases 10 and b: A046472 (b=2), A046473 (b=3), A046474 (b=4), A046476 (b=7), A046477 (b=8), A046478 (b=9), A046479 (b=11), A046480 (b=12), A046481 (b=13), A046482 (b=14), A046483 (b=15), A046484 (b=16).

Sequence in context: A069803 A083184 A046478 * A029978 A360986 A122764

Adjacent sequences: A046472 A046473 A046474 * A046476 A046477 A046478

Keyword

nonn,hard,base,more

Author

Patrick De Geest, Aug 15 1998

Extensions

a(9) from Max Alekseyev, Sep 14 2025

Status

approved