A036963 -id:A036963 - cp's OEIS frontend

A036964 Primes with digits (0,...,8) taken as base 9 and converted to base 10.

2, 3, 5, 7, 10, 12, 16, 21, 28, 34, 37, 39, 43, 48, 55, 61, 64, 66, 75, 82, 84, 88, 93, 106, 109, 115, 127, 133, 138, 142, 147, 154, 172, 183, 187, 192, 199, 208, 214, 219, 226, 232, 235, 237, 250, 253, 255, 259, 271, 277, 286, 291, 304, 309, 318, 325, 343, 352

Offset: 1

Patrick De Geest, Jan 04 1999

			a(n)=343 -> is 421{9} -> 421{10} is prime.

Cf. A038617, A036952-A036963.

Offset 1 from Michel Marcus, Oct 10 2019

A065726 Primes p whose base-8 expansion is also the decimal expansion of a prime.

Original entry on oeis.org

2, 3, 5, 7, 11, 19, 31, 43, 59, 67, 71, 89, 137, 151, 179, 191, 199, 223, 251, 257, 281, 283, 307, 311, 337, 353, 359, 367, 383, 409, 419, 433, 443, 449, 523, 563, 617, 619, 641, 659, 727, 787, 809, 811, 857, 887, 907, 919, 947, 977, 1033, 1039, 1097, 1123

Offset: 1

Patrick De Geest, Nov 15 2001

In general rebase notation (Marc LeBrun): p8 = (8) [p] (10).

			E.g., 787_10 = 1423_8 is prime, and so is 1423_10.

Harry J. Smith, Table of n, a(n) for n = 1..1000
M. F. Hasler, Primes whose base c expansion is also the base b expansion of a prime

Primes in A036963.
Cf. A065720 up to A065727, A065361.
Cf. A090707 - A091924, A235461 - A235482. See the LINK for further cross-references.

Select[ Range[2500], PrimeQ[ # ] && PrimeQ[ FromDigits[ IntegerDigits[ #, 8]]] & ]

is(p, b=10, c=8)=isprime(vector(#d=digits(p, c), i, b^(#d-i))*d~)&&isprime(p) \\ This code can be used for other bases b, c when b>c. See A235265 for code also valid for bM. F. Hasler, Jan 12 2014

Definition clarified by M. F. Hasler, Jan 12 2014

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A036964 Primes with digits (0,...,8) taken as base 9 and converted to base 10.

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A065726 Primes p whose base-8 expansion is also the decimal expansion of a prime.

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