A178371 The smallest prime p of the form j^3 + prime(n), such that the sum-of-digits of p equals prime(n).

2, 3, 5, 7, 227, 229, 13841, 1747, 729023, 474581, 46687, 1259749, 37933097, 6434899, 14886983, 485587709, 2985984059, 2526569989, 56888939803, 60976889927, 60976889929, 879768685447, 8296386686867, 22597978779737

Offset

1,1

Links

Table of n, a(n) for n=1..24.

Example

n=1: 0^3 + prime(1) = 0+2 = 2.
n=2: 0^3 + prime(2) = 0+3 = 3.
n=3: 0^3 + prime(3) = 0+5 = 5. Next candidate with j>0 would be 6^3 + 7 = 223.
n=4: 0^3 + prime(4) = 0+7 = 7.
n=5: 6^3 + 11 = 227 = prime(49).
n=6: 6^3 + 13 = 229 = prime(50).
n=7: 24^3 + 17 = 13841 = prime(1636).
n=8: 12^3 + 19 = 1747 = prime(272).
n=9: 90^3 + 23 = 729023 = prime(58716).
n=10: 78^3 + 29 = 474581 = prime(39587).
n=11: 36^3 + 31 = 46687 = prime(4825).
n=12: 108^3 + 37 = 1259749 = prime(97168).
n=13: 336^3 + 41 = 37933097 = prime(2315164).
n=14: 186^3 + 43 = 6434899 = prime(440614).
n=15: 246^3 + 47 = 14886983 = prime(963902).
n=16: 786^3 + 53 = 485587709 = prime(25635800).
n=17: 1440^3 + 59 = 2985984059 = prime(143807568).
n=18: 1362^3 + 61 = 2526569989 = prime(122671100).

Crossrefs

Cf. A000040, A000578, A176111, A176790, A178237

Sequence in context: A195302 A064157 A257483 * A067184 A067170 A090719

Adjacent sequences: A178368 A178369 A178370 * A178372 A178373 A178374

Keyword

base,nonn

Author

Ulrich Krug (leuchtfeuer37(AT)gmx.de), May 26 2010

Extensions

Redefined the variables in the definition - R. J. Mathar, Jun 07 2010

a(19)-a(24) from Donovan Johnson, Aug 09 2010

Status

approved