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A129697 Sum of isolated primes < 10^n. +0
1
2, 577, 51896, 4009989, 345281974, 30126035380, 2657646397769, 238004015750349, 21505022353019864, 1960179022139638131, 180020101551309284879, 16639947666244921992434 (list; graph; listen)
OFFSET

1,1

COMMENT

Also A046731(n) - A118552(n) + 5. This agrees with the program in the link up to n = 12.

LINKS

C. Hilliard, Sum Isolated Primes.

C. Hilliard, Gcc code.

FORMULA

Isolated primes are primes that are not twin prime components.

EXAMPLE

The sum of the isolated primes < 100 = 2+23+37+47+53+67+79+83+89+97 = 577, the

second entry in the table.

PROGRAM

(PARI) isoprimes(n) = { local(j, s, x); for(j=1, n, s=0; forprime(x=2, 10^j, if(!isprime(x-2)&&!isprime(x+2), s+=x) ); print1(s", ") ) }

CROSSREFS

Cf. A007510, A046731, A118552.

Sequence in context: A163277 A003830 A134371 this_sequence A121850 A100011 A134796

Adjacent sequences: A129694 A129695 A129696 this_sequence A129698 A129699 A129700

KEYWORD

nonn

AUTHOR

Cino Hilliard (hillcino368(AT)hotmail.com), Jun 08 2007

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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