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 A349985 #36 Jan 14 2022 07:44:31 %S A349985 227,1181,765169,575772529,1844619589,7916858557,31095441001, %T A349985 37809636673,75033373321,80635078873,234564891361,302257557157, %U A349985 443314943881,463236781489,1215371749321,1347613229509,1534404944209,2967342092629,5573043569437,6390859845289 %N A349985 Primes of the form (product of 4 consecutive primes) + (sum of the same 4 consecutive primes). %C A349985 It is conjectured that this sequence is infinite, and that similar lists of primes can be generated by using any even number of consecutive primes. Specifying 2 consecutive primes results in A096342. However, it should be noted that the percentage of resulting primes (as compared to all numbers generated in this manner) decreases as the number of consecutive primes to consider increases. %H A349985 Lyle Blosser, <a href="/A349985/b349985.txt">Table of n, a(n) for n = 1..498</a> %e A349985 227 is a term since 227 is prime and is generated by (2*3*5*7) + (2+3+5+7). %e A349985 1181 is a term since 1181 is prime and is generated by (3*5*7*11) + (3+5+7+11). %t A349985 Select[Table[s=NextPrime[p,Range@4-1];Total@s+Times@@s,{p,Prime@Range@300}],PrimeQ] (* _Giorgos Kalogeropoulos_, Jan 09 2022 *) %Y A349985 Cf. A096342. %K A349985 nonn %O A349985 1,1 %A A349985 _Lyle Blosser_, Jan 08 2022