Lesser of consecutive primes whose average is a perfect cube.

Terms

a(0) =61a(1) =1723a(2) =4093a(3) =17573a(4) =21943a(5) =46649a(6) =110587a(7) =195103a(8) =287491a(9) =314423a(10) =405221a(11) =474547a(12) =1061189a(13) =1191013a(14) =1404919a(15) =1601609a(16) =1906621a(17) =2000371a(18) =2146687a(19) =2196979a(20) =3241783a(21) =3511799a(22) =4912991a(23) =5268017a(24) =6229501a(25) =6751267a(26) =6858997a(27) =7077883a(28) =11239421a(29) =20346407