This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A364149 #8 Aug 08 2023 19:09:38 %S A364149 31,41,617,677,937,947,1637,1931,1979,2221,2341,2447,2647,2857,3373, %T A364149 3583,3673,3823,3967,4027,4049,4229,4259,4339,4421,4649,4861,4931, %U A364149 5051,5179,5399,5407,5507,5521,5573,5987,6047,6131,6143,6311,6337,6703,6737,7417,7717,7723,7901,8059,8069,8231,8647 %N A364149 Prime numbers that are the exact average of seven consecutive odd semiprimes. %e A364149 31 is a term because (15 + 21 + 25 + 33 + 35 + 39 + 49)/7 = 31 is prime. %e A364149 617 is a term because (591 + 597 + 611 + 623 + 629 + 633 + 635)/7 = 617 is prime. %t A364149 Select[Mean /@ Partition[Select[Range[1, 9000, 2], PrimeOmega[#] == 2 &], 7, 1], PrimeQ] (* _Amiram Eldar_, Jul 11 2023 *) %Y A364149 Cf. A000040, A046315. %Y A364149 Cf. A363074, A363187, A363188, A364147, A364148. %K A364149 nonn %O A364149 1,1 %A A364149 _Elmo R. Oliveira_, Jul 10 2023