

A158473


Primes whose digit sum contains one or more digits of the same prime.


1



2, 3, 5, 7, 19, 109, 127, 137, 139, 149, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 271, 281, 283, 307, 317, 337, 347, 367, 373, 379, 397, 419, 461, 463, 467, 491, 541, 557, 571, 613, 617, 619, 631, 641, 643, 647, 661, 673, 691, 719, 733, 739, 743, 751
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..54.
Chris Caldwell, The First 1,000 Primes


EXAMPLE

139 is a prime whose digit sum of 13 contains the digits 1 and 3 which are also in the prime. 149 is a prime whose digit sum of 14 contains the digits 1 and 4 which are also in the prime. 419 is a prime whose digit sum of 14 contains the digits 1 and 4 which are also in the prime.


PROG

(PARI) isok(p) = isprime(p) && (#setintersect(Set(digits(p)), Set(digits(sumdigits(p)))) >= 1); \\ Michel Marcus, Nov 12 2017


CROSSREFS

Cf. A107579, A158217, A158293.
Sequence in context: A289756 A236303 A117315 * A048420 A048405 A110457
Adjacent sequences: A158470 A158471 A158472 * A158474 A158475 A158476


KEYWORD

base,nonn


AUTHOR

Parthasarathy Nambi, Mar 20 2009


EXTENSIONS

Singledigit primes added by R. J. Mathar, Jul 08 2009
Typos in data corrected by D. S. McNeil and Andrew Weimholt, Aug 17 2010


STATUS

approved



