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 A007605 Sum of digits of n-th prime. (Formerly M0633) 82
 2, 3, 5, 7, 2, 4, 8, 10, 5, 11, 4, 10, 5, 7, 11, 8, 14, 7, 13, 8, 10, 16, 11, 17, 16, 2, 4, 8, 10, 5, 10, 5, 11, 13, 14, 7, 13, 10, 14, 11, 17, 10, 11, 13, 17, 19, 4, 7, 11, 13, 8, 14, 7, 8, 14, 11, 17, 10, 16, 11, 13, 14, 10, 5, 7, 11, 7, 13, 14, 16, 11, 17, 16, 13, 19, 14, 20, 19, 5 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 Christian Mauduit, Joël Rivat, Sur un problème de Gelfond: la somme des chiffres des nombres premiers (French) [On a problem posed by Gelfond: the sum of digits of primes] Ann. of Math. (2) 171(2010), no. 3, 1591--1646. MR2680394 (2011j:11137) R. G. Wilson, V, Letter to C. A. Pickover, Mar. 1993 FORMULA a(n) = A007953(A000040(n)) = A007953(prime(n)). MAPLE map(t -> convert(convert(t, base, 10), `+`), select(isprime, [2, (2*i+1 \$ i=1..1000)])); # Robert Israel, Aug 16 2015 MATHEMATICA Table[Apply[Plus, RealDigits[Prime[n]][[1]]], {n, 1, 100}] Plus@@ IntegerDigits[Prime[Range[100]]] (* Zak Seidov *) PROG (MAGMA) [ &+Intseq(NthPrime(n), 10): n in [1..80] ]; // Klaus Brockhaus, Jun 13 2009] (PARI) dsum(n)=my(s); while(n, s+=n%10; n\=10); s forprime(p=2, 1e3, print1(dsum(p)", ")) \\ Charles R Greathouse IV, Jul 15 2011 (PARI) a(n) = sumdigits(prime(n)); \\ Michel Marcus, Dec 20 2017 (Haskell) a007605_list = map a007953 a000040_list -- Reinhard Zumkeller, Aug 04 2011 (Python) from sympy import prime def a(n): return sum(map(int, str(prime(n)))) print([a(n) for n in range(1, 80)]) # Michael S. Branicky, Feb 03 2021 CROSSREFS Cf. A000040, A007953, A038194, A065073, A068395, A133223. For inverse, see A067180 and A067523. Sequence in context: A074463 A038194 A111309 * A077765 A078400 A068951 Adjacent sequences:  A007602 A007603 A007604 * A007606 A007607 A007608 KEYWORD nonn,base AUTHOR STATUS approved

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Last modified April 13 07:25 EDT 2021. Contains 342935 sequences. (Running on oeis4.)