A379208 -id:A379208 - cp's OEIS frontend

A382118 Prime indices k such that prime(k) and prime(k) + 9 are anagrams.

19, 73, 79, 163, 197, 241, 269, 281, 431, 439, 619, 647, 691, 739, 751, 761, 823, 877, 953, 1019, 1051, 1109, 1223, 1259, 1291, 1307, 1423, 1471, 1723, 1741, 1747, 1847, 1949, 1979, 2213, 2371, 2473, 2503, 2647, 2789, 2803, 2819, 2879, 2903, 2909, 3019, 3163, 3361

Offset: 1

Vincenzo Librandi, Apr 15 2025

Primes in A379208.

			The prime 19 is a term of the sequence because prime(19)= 67 and 67 + 9 = 76 are anagrams.

Vincenzo Librandi, Table of n, a(n) for n = 1..19861

Cf. A140353, A228157, A379208.

[n: n in [0..10000] | IsPrime(n) and Sort(Intseq(NthPrime(n))) eq Sort(Intseq(NthPrime(n) + 9))];

Select[Prime[Range[500]],Sort[IntegerDigits[Prime[#]]]==Sort[IntegerDigits[Prime[#]+9]]&]

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

Original entry on oeis.org

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

Jean-Marc Rebert, Dec 31 2024

			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.

Cf. A379208.

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

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

cp's OEIS Frontend

A382118 Prime indices k such that prime(k) and prime(k) + 9 are anagrams.

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