login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A007605 Sum of digits of n-th prime.
(Formerly M0633)
76
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

CNRS press release, Sum of Digits of Prime Numbers Is Evenly Distributed: New Mathematical Proof of Hypothesis

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

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

N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 12 12:31 EST 2018. Contains 318061 sequences. (Running on oeis4.)