A123928 Numbers n such that the sum of the first n primes with the final digit 1 is prime (the number of consecutive prime numbers in A030430 that should be added to obtain A129077(x)).

1, 3, 11, 27, 29, 31, 33, 49, 73, 77, 79, 123, 149, 157, 167, 169, 189, 207, 211, 219, 223, 227, 241, 261, 313, 319, 323, 329, 333, 357, 359, 417, 419, 423, 441, 463, 477, 491, 499, 513, 517, 553, 559, 573, 637, 667, 707, 709, 711, 729, 747, 757, 777, 813, 893

Offset

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

a(n)=primes in A030430 added to obtain A129077(n)

Example

a(3)=11 because 11 is the number of consecutive prime numbers in A030430 that must be added to obtain A129077(3).

Mathematica

Position[Accumulate[Select[Prime[Range[5000]], Mod[#, 10]==1&]], _?PrimeQ]//Flatten (* Harvey P. Dale, May 21 2023 *)

Crossrefs

Cf. A030430; A129077; A129078; A129079; A129081; A000040.

Sequence in context: A256315 A290513 A101612 * A186301 A170945 A164897

Adjacent sequences: A123925 A123926 A123927 * A123929 A123930 A123931

Keyword

easy,base,nonn,less

Author

Tomas Xordan, May 13 2007

Status

approved