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Lesser of consecutive primes such that their whose average is an oblong number.
53 is in the sequence because it is prime, nextprime(53) = 59 and (53+59)/2 = 56 = 8*7, an oblong number.
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Lesser of consecutive primes such that their average is a an oblong number.
Cf. A154634.
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53 is in the sequence because it is prime, nextprime(53) = 59 and (53+59)/2 = 56 =8*7, an oblong number.
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allocated for Antonio Roldán
Lesser of consecutive primes such that their average is a oblong number.
5, 11, 29, 41, 53, 71, 239, 337, 419, 461, 503, 547, 599, 647, 863, 1051, 1187, 1481, 1721, 1801, 2549, 2647, 2969, 3539, 4421, 6317, 7129, 8009, 10301, 12653, 13567, 14033, 17291, 18353, 19181, 19457, 20021, 22943, 23561, 24179, 27059, 29063, 29753, 31151, 33301, 35153
1,1
53 is in the sequence because is prime, nextprime(53)=59 and (53+59)/2=56=8*7, oblong number.
(PARI){for(i=3, 10^5, if(isprime(i), k=(i+nextprime(i+1))/4; if(issquare(8*k+1), print1(i, ", "))))}
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Antonio Roldán, May 12 2014
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allocated for Antonio Roldán
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