This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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