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

Author

Jean-Marc Rebert, Dec 31 2024

Keywords

• nonn
• base

Examples

			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.
		

Crossrefs

Cf. A379208.

Programs

Magma

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

Mathematica

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