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A163508 The sum of the prime factors (with repetition) of the sum of 2 successive primes. +0
1
5, 6, 7, 8, 9, 10, 10, 12, 17, 12, 21, 18, 14, 13, 14, 15, 14, 14, 28, 14, 25, 14, 47, 36, 19, 24, 17, 15, 42, 16, 48, 71, 30, 16, 17, 22, 17, 21, 26, 21, 17, 38, 17, 23, 21, 48, 40, 18, 28, 23, 65, 18, 48, 131, 24, 30, 18, 141, 39, 54, 18, 19, 108, 24, 20, 18, 171, 29, 38, 24 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n)=A001414(A001043(n))=sopfr(p_n+p_(n+1)), p_n is n-th prime.

EXAMPLE

a(1)=5 because p_1+p_2=2+3=5, and sopfr(5)=5

a(2)=6 because p_2+p_3=3+5==2*2*2, and sopfr(8)=2+2+2=6

a(4)=8 because p_4+p_5=7+11=18=2*3*3 and sopfr(18)=2+3+3=8.

CROSSREFS

A001043, A001414.

Sequence in context: A029911 A002141 A114547 this_sequence A030541 A020710 A101107

Adjacent sequences: A163505 A163506 A163507 this_sequence A163509 A163510 A163511

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Jul 29 2009

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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