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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 (list; graph; refs; listen; history; text; internal format)
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

Single-digit 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

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Last modified August 4 03:57 EDT 2021. Contains 346442 sequences. (Running on oeis4.)