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A352963
What remains from the sequence of positive integers (A000027) when all prime sums of two successive digits are erased.
0
7, 10, 13, 15, 17, 18, 22, 24, 26, 27, 31, 33, 35, 36, 44, 45, 54, 55, 57, 59, 60, 62, 63, 64, 66, 68, 69, 71, 72, 73, 75, 77, 78, 81, 82, 84, 86, 87, 80, 91, 93, 95, 96, 97, 99, 100, 10, 10, 108, 2, 27, 3, 133, 35, 1337, 39, 0, 15, 153, 1555, 57, 59, 0, 17773, 75, 77, 178, 179, 180, 188, 18, 1887, 90
OFFSET
1,1
COMMENTS
After an erasure, we start reading again what is left, from the beginning, in order to spot the next pair of successive digits that will be erased. Those two digits can span a comma or a void.
LINKS
Eric Angelini, La Poussette, personal blog (in French), April 2022.
EXAMPLE
We start with 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, ...
as 1 + 2 = 3 (prime) we erase those two digits; we are left with:
3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, ...
as 3 + 4 = 7 (prime) we erase those two digits; we are left with:
5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, ...
as 5 + 6 = 11 (prime) we erase those two digits; we are left with:
7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, ...
as 8 + 9 = 17 (prime) we erase those two digits; we are left with:
7, 10, 11, 12, 13, 14, 15, 16, 17, ...
as 1 + 1 = 2 (prime) we erase those two digits; we are left with:
7, 10, 12, 13, 14, 15, 16, 17, ...
as 1 + 2 = 3 (prime) we erase those two digits; we are left with:
7, 10, 13, 14, 15, 16, 17, ...
as 1 + 4 = 5 (prime) we erase those two digits; we are left with:
7, 10, 13, 15, 16, 17, ...
as 1 + 6 = 7 (prime) we erase those two digits; we are left with:
7, 10, 13, 15, 17, ... etc.
What remains is this sequence.
CROSSREFS
Sequence in context: A345478 A295797 A153040 * A024888 A226567 A184106
KEYWORD
base,nonn
AUTHOR
Eric Angelini and Carole Dubois, Apr 11 2022
STATUS
approved