login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A115707
Pentagonal numbers (A000326) whose digit reversal is a prime.
2
5, 35, 70, 92, 145, 376, 1520, 1820, 3577, 3725, 7526, 9322, 9560, 10045, 10292, 13490, 14065, 16801, 17767, 18760, 32782, 34126, 34580, 36895, 38320, 38801, 39772, 73151, 74482, 76501, 78547, 91390, 93625, 94376, 98176, 100492, 101270
OFFSET
1,1
LINKS
EXAMPLE
145 is the 10th pentagonal number and 541 is prime.
MATHEMATICA
Select[Table[n (3n-1)/2, {n, 400}], PrimeQ[FromDigits[Reverse[ IntegerDigits[ #]]]]&] (* Harvey P. Dale, Feb 23 2011 *)
Select[PolygonalNumber[5, Range[300]], PrimeQ[IntegerReverse[#]]&] (* Harvey P. Dale, Mar 27 2024 *)
CROSSREFS
Sequence in context: A014632 A117985 A371561 * A117793 A145920 A356179
KEYWORD
nonn,base
AUTHOR
Giovanni Resta, Jan 31 2006
STATUS
approved