A057698 -id:A057698 - cp's OEIS frontend

A307008 Numbers that are both prime-indexed primes and lucky-indexed lucky numbers.

31, 367, 991, 1087, 1471, 3259, 3559, 5851, 6661, 6841, 8719, 9661, 10723, 11953, 13513, 18181, 20341, 21529, 22651, 23563, 25057, 31189, 39451, 70207, 72727, 75937, 81931, 85843, 87931, 92569, 93169, 108643, 131071, 136483, 143797, 149503, 150991, 163309

Offset: 1

Amiram Eldar, Mar 19 2019

nonn

Intersection of A006450 and A032639.

Cf. A006450, A031157, A032639, A057698, A307009, A307010.

m = 10^4; L = Table[2*i + 1, {i, 0, m}]; For[n = 2, n < Length[L], r = L[[n++]]; L = ReplacePart[L, Table[r*i -> Nothing, {i, 1, Length[L]/r}]]]; ll = L[[Select[L, # <= Length[L] &]]]; pp = Prime@ Prime@ Range@ PrimePi@ PrimePi@ (2m); Intersection[pp,ll] (* after Jean-François Alcover at A000959 and Giovanni Resta at A303403 *)

A318480 Least start of n consecutive lucky numbers that are also n consecutive prime numbers.

Original entry on oeis.org

3, 997, 3301, 9631, 62378131

Offset: 1

Amiram Eldar, Aug 27 2018

No other terms below 10^9.

Calculated using Hugo van der Sanden's Lucky numbers up to 10^9.

			The corresponding consecutive primes/lucky numbers are:
3
997, 1009
3301, 3307, 3313
9631, 9643, 9649, 9661
62378131, 62378137, 62378143, 62378149, 62378161

Cf. A000959, A031157, A057698.

cp's OEIS Frontend

A307008 Numbers that are both prime-indexed primes and lucky-indexed lucky numbers.

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