A379738 Numbers k such that prime(k) and prime(k) + 9*k are anagrams.

8, 55, 60, 61, 228, 440, 455, 550, 555, 568, 578, 1508, 1774, 1778, 1795, 1796, 1808, 2218, 2222, 2308, 2411, 2519, 2520, 2834, 2843, 2885, 3304, 3386, 3440, 4000, 4281, 4390, 4906, 4994, 4999, 5090, 5110, 9777, 9788, 9966, 10239, 11780, 11882, 11930, 12330, 13873, 13887, 14259

Offset

1,1

Links

Table of n, a(n) for n=1..48.

Example

prime(8) = 19 and prime(8) + 9 * 8 = 91 are anagrams.
prime(55) = 257 and prime(55) + 9 * 55 = 752 are anagrams.
prime(60) = 281 and prime(60) + 9 * 60 = 821 are anagrams.
prime(61) = 283 and prime(61) + 9 * 61 = 832 are anagrams.
prime(228) = 1439 and prime(228) + 9 * 228 = 3491 are anagrams.

Mathematica

Select[Range[10000], Sort[IntegerDigits[Prime[#]]] == Sort[IntegerDigits[Prime[#]+9#]] &] (* Stefano Spezia, Jan 01 2025 *)

Prog

(Magma)[n: n in [1..2*10^4] | Sort(Intseq(NthPrime(n))) eq Sort(Intseq(NthPrime(n) + 9*n))]; // Vincenzo Librandi, Jan 01 2025

Crossrefs

Cf. A379208.

Sequence in context: A304589 A027525 A298654 * A080312 A116885 A179407

Adjacent sequences: A379734 A379735 A379737 * A379741 A379742 A379743

Keyword

nonn,base,new

Author

Jean-Marc Rebert, Dec 31 2024

Status

approved