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A086715 Primes p such that A001414(p-1) and A001414(p+1) are both prime, where A001414 = sum of primes dividing n (with repetition). 0
11, 53, 89, 251, 359, 383, 389, 463, 487, 809, 857, 863, 1109, 1217, 1429, 1451, 1549, 2039, 2089, 2459, 2903, 3037, 3457, 3541, 3709, 3727, 3739, 4259, 4373, 4451, 4733, 4903, 5641, 5851, 5939, 6359, 7019, 7079, 7129, 7219, 7549, 8059, 8839, 8929, 9007 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..45.

EXAMPLE

a(2)=53 because it is prime and 52=2^2*13, 54=2*3^3 and 2+2+13=17 and 2+3+3+3=11.

PROG

(MAGMA) [ n : n in [3..9100] | IsPrime(n) and IsPrime(&+[ k[1]*k[2] : k in Factorization(n-1)]) and IsPrime(&+[ k[1]*k[2] : k in Factorization(n+1)]) ]; /* Klaus Brockhaus, Mar 24 2007 */

CROSSREFS

Cf. A001414.

Sequence in context: A191099 A004622 A045471 * A178453 A225582 A164580

Adjacent sequences:  A086712 A086713 A086714 * A086716 A086717 A086718

KEYWORD

easy,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jul 29 2003

EXTENSIONS

Checked by Klaus Brockhaus, Mar 24 2007

STATUS

approved

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Last modified June 28 04:43 EDT 2017. Contains 288813 sequences.