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A098037 Number of prime divisors, counted with multiplicity, of the sum of two consecutive primes. +0
2
1, 3, 3, 3, 4, 3, 4, 3, 3, 4, 3, 3, 4, 4, 4, 5, 5, 7, 3, 6, 4, 5, 3, 3, 4, 4, 4, 6, 3, 6, 3, 3, 4, 7, 5, 4, 7, 4, 4, 6, 6, 4, 8, 4, 5, 3, 3, 5, 5, 4, 4, 7, 4, 3, 5, 4, 6, 3, 4, 4, 8, 6, 3, 6, 5, 7, 3, 5, 5, 5, 4, 4, 4, 5, 3, 3, 3, 4, 6, 5, 6, 4, 8, 4, 5, 3, 3, 5, 5, 4, 3, 4, 3, 5, 3, 4, 3, 5, 5, 7, 6, 7, 3, 5, 4 (list; graph; listen)
OFFSET

1,2

COMMENT

Clearly sum of two consecutive primes prime(x) and prime(x+1) has more than 2 prime divisors for all x > 1.

EXAMPLE

Prime(2) + prime(3) = 2*2*2, 3 factors, the second term in the sequence.

PROGRAM

(PARI) b(n) = for(x=1, n, y1=(prime(x)+prime(x+1)); print1(bigomega(y1)", "))

CROSSREFS

Cf. A071215.

Sequence in context: A069239 A010265 A084501 this_sequence A079108 A165605 A128112

Adjacent sequences: A098034 A098035 A098036 this_sequence A098038 A098039 A098040

KEYWORD

easy,nonn

AUTHOR

Cino Hilliard (hillcino368(AT)gmail.com), Sep 10 2004

EXTENSIONS

Definition corrected by Andrew Plewe, Apr 08 2007.

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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