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 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Eric Angelini, Sum of peculiar primes, math-fun 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 prime-acronyms 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

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Last modified August 3 00:25 EDT 2021. Contains 346429 sequences. (Running on oeis4.)