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.
a(3) = 442619, since 442619, 442633 and 442691 are three consecutive primes with product of digits as 1728 and this is the first occurrence of three consecutive primes whose product of digits is equal and nonzero.
a(3) = 15919, since 15919,15937,15973 are three consecutive emirps with digit sum 25 and this is the first occurrence of three consecutive emirps with equal digit sum.
5521819 is in the sequence because 5521819, 5521891, 5521927, 5521963 and 5521981 are consecutive primes and the sum of the digits of each = 31.
a = {}; m = 1; s = 1; Do[If[(y = Apply[Plus, IntegerDigits[x = Prime[n]]]) == s , m = m + 1; If[m == 6, AppendTo[a, Prime[n - 5]]], m = 1]; s = y, {n, 2, 100000000}];a
Select[Partition[Prime[Range[11340000]],5,1],Length[Union[Total/@(IntegerDigits/@ #)]] == 1&][[All,1]] (* Harvey P. Dale, Apr 14 2022 *)
354963229 is in the sequence because 354963229, 354963283, 354963319, 354963337, 354963373 and 354963391 are consecutive primes and the sum of the digits of each = 43
a = {}; m = 1; s = 1; Do[If[(y = Apply[Plus, IntegerDigits[x = Prime[n]]]) == s , m = m + 1; If[m == 6, AppendTo[a, Prime[n - 5]]], m = 1]; s = y, {n, 2, 200000000}];a
a(3) = 74747, since 74747, 75557 and 76367 are three consecutive palindromic primes with digit sum 29 and this is the first occurrence of three consecutive palindromic primes with equal digit sum.
T(2,3) = 7, because the 3 consecutive primes 7 = 111_2, 11 = 1011 and 13 = 1101_2 have all the same sum of digits in base 2, and no lesser number has this property. The upper left square of the table begins at T(2,1): 2 3 7 167 941 6299 ... 2 11 7 5 1019 1013 ... 2 23 151 1901 12823 102811 ... 2 7 479 467 463 15667 ... 2 139 8543 123239 2350349 24370007 ... 2 23 151 251 1747 1741 ... ... ... ... ... ... ... ...
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