

A242380


Lesser of consecutive primes such that their average is a perfect power.


2



3, 7, 61, 79, 139, 223, 317, 439, 619, 1087, 1669, 1723, 2593, 3593, 4093, 5179, 6079, 8461, 12541, 13687, 16633, 17573, 19037, 19597, 21943, 25261, 27211, 28219, 29581, 36857, 38011, 39199, 45361, 46649, 47521, 51977, 56167, 74527, 87013, 88801, 91807, 92413, 95479
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OFFSET

1,1


COMMENTS

Supersequence of A225195 and A242382.


LINKS

Table of n, a(n) for n=1..43.


EXAMPLE

4093 is in sequence because 4093 and 4099 are consecutive primes and (4093+4099)/2=4096=2^12.


PROG

(PARI) for(i=3, 10^6, if(isprime(i), k=i+nextprime(i+1))/2; if(ispower(k), print1(i, ", ")))


CROSSREFS

Cf. A091624, A225195, A242382.
Sequence in context: A239023 A164895 A046859 * A225195 A084289 A183174
Adjacent sequences: A242377 A242378 A242379 * A242381 A242382 A242383


KEYWORD

nonn


AUTHOR

Antonio Roldán, May 12 2014


STATUS

approved



