A155476 Primes p such that p and the p-th prime have the same largest digit.

7, 29, 37, 73, 97, 109, 137, 139, 149, 181, 239, 271, 281, 283, 293, 307, 367, 379, 397, 419, 449, 499, 557, 577, 593, 599, 631, 659, 691, 733, 751, 839, 877, 881, 883, 911, 919, 971, 977, 1109, 1129, 1193, 1229, 1249, 1283, 1289, 1291, 1307, 1429, 1489

Offset

1,1

Links

Jinyuan Wang, Table of n, a(n) for n = 1..10000

Example

7 (prime) is a term because prime(7)=17 and 7 and 17 have 7 as their largest digit.
29 (prime) is a term because prime(29)=109 and 29 and 109 have 9 as their largest digit.
37 (prime) is a term because prime(37)=157 and 37 and 157 have 7 as their largest digit.

Maple

A054055 := proc(n) max( op(convert(n, base, 10)) ) ; end proc:
for n from 2 to 2200 do if isprime(n) then if A054055(n) = A054055(ithprime(n)) then printf("%d, ", n) ; end if; end if; end do: # R. J. Mathar, May 10 2010

Prog

(PARI) forprime(p=1, 1489, if(vecmax(digits(p))==vecmax(digits(prime(p))), print1(p, ", "))) \\ Jinyuan Wang, Feb 13 2019

Crossrefs

Cf. A000040 (primes), A054055, A060418.

Sequence in context: A107923 A096450 A156124 * A166970 A075583 A103603

Adjacent sequences: A155473 A155474 A155475 * A155477 A155478 A155479

Keyword

nonn,base

Author

Juri-Stepan Gerasimov, Jan 23 2009

Extensions

Most terms > 300 corrected by R. J. Mathar, May 10 2010

Status

approved