

A340113


Acronym primes: primes which are the sums of primes and also equal the concatenation of the initial digits of these primes.


1



2, 3, 5, 7, 127, 131, 137, 139, 149, 151, 157, 173, 179, 211, 233, 251, 271, 277, 281, 311, 331, 353, 421, 431, 433, 443, 463, 521, 523, 541, 547, 571, 577, 613, 631, 641, 653, 733, 743, 751, 757, 761, 769, 827, 853, 857, 877, 887, 953, 971, 983
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..51.
Eric Angelini, Sum of peculiar primes, mathfun mailing list, Dec 24, 2020.


EXAMPLE

The single digit primes trivially satisfy the constraint.
127 is prime and the concatenation of the initial digits of the primes (19, 29, 79) and also equal to their sum.
131 is prime and the concatenation of the initial digits of the primes (109, 3, 17) and also equal to their sum.


PROG

(PARI) select( {is_A340113(n)=is_A340112(n) && isprime(n)}, [1..999]) \\ or: {A340113_upto(N)=select(is_A340112, primes([1, N]))}


CROSSREFS

These are the primes in the sequence of primeacronyms A340112.
Sequence in context: A117059 A117058 A067173 * A090718 A167853 A117703
Adjacent sequences: A340110 A340111 A340112 * A340114 A340115 A340116


KEYWORD

nonn,base


AUTHOR

Eric Angelini and M. F. Hasler, Dec 28 2020


STATUS

approved



