A226098 Fifth powers that become prime when their most significant (leftmost) decimal digit is removed.

32, 243, 59049, 161051, 371293, 6436343, 14348907, 115856201, 282475249, 844596301, 73439775749, 173726604657, 312079600999, 779811265199, 2553954421743, 2817036000549, 3515706497843, 5798839393557, 10112638401999, 12914277518099, 14530697473149

Offset

1,1

Comments

This is to fifth powers A000584 as A226092 is to fourth powers A000583, as A226090 is to as cubes A000578, and as A225873 is to squares A000290.

Links

Table of n, a(n) for n=1..21.

Example

a(1) = 2^5 = 32 because when its most significant (or leftmost) digit (3) is removing the remaining 2 is prime.

Mathematica

Select[Range[500]^5, PrimeQ[FromDigits[Rest[IntegerDigits[#]]]]&] (* Harvey P. Dale, Nov 10 2021 *)

Crossrefs

Cf. A000584, A225873, A226090, A226092.

Sequence in context: A046454 A050997 A056572 * A096960 A231304 A269079

Adjacent sequences: A226095 A226096 A226097 * A226099 A226100 A226101

Keyword

nonn,base,easy

Author

Jonathan Vos Post, May 26 2013

Status

approved