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A242382 Lesser of consecutive primes such that their average is a perfect cube. 1
61, 1723, 4093, 17573, 21943, 46649, 110587, 195103, 287491, 314423, 405221, 474547, 1061189, 1191013, 1404919, 1601609, 1906621, 2000371, 2146687, 2196979, 3241783, 3511799, 4912991, 5268017, 6229501, 6751267, 6858997, 7077883, 11239421, 20346407, 21951997, 26198063 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subsequence of A077037 and A242380.

LINKS

Table of n, a(n) for n=1..32.

EXAMPLE

1723 is in the sequence because it is prime, nextprime(1723) = 1733, and average(1723,1733) = 1728 = 12^3.

PROG

(PARI) {for(i=3, 3*10^7, if(isprime(i), k=(i+nextprime(i+1))/2; if(ispower(k, 3), print1(i, ", "))))}

CROSSREFS

Cf. A225195, A091624, A242380.

Sequence in context: A143011 A211213 A229667 * A017777 A113054 A017724

Adjacent sequences:  A242379 A242380 A242381 * A242383 A242384 A242385

KEYWORD

nonn

AUTHOR

Antonio Roldán, May 12 2014

STATUS

approved

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Last modified December 6 19:22 EST 2019. Contains 329809 sequences. (Running on oeis4.)