A366976 Numbers that cannot be written as sum of two or more consecutive nonprimes.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 15, 16, 20, 21, 24, 25, 30, 32, 35, 40, 42, 44, 47, 48, 52, 56, 61, 66, 70, 72, 73, 80, 88, 93, 96, 98, 100, 107, 110, 119, 120, 140, 141, 144, 167, 174, 179, 186, 190, 196, 204, 205, 234, 236, 252, 253, 260, 275, 290, 292, 299, 303, 310, 312, 313

Offset

1,2

Comments

The complement sequence of sums of two or more consecutive nonprime numbers.

Links

Table of n, a(n) for n=1..65.

Example

9 is a term because trying the sums of candidate consecutive nonprimes 1 + 4 = 5 != 9, 1 + 4 + 6 = 11 != 9, 4 + 6 = 10 != 9. All these sums miss the integer 9.
On the other hand, 23 is not a term because 23 = 6 + 8 + 9, which is the sum of three consecutive nonprime numbers.

Crossrefs

Cf. A051349, A018252, A367021.

Primes in the sequence: A257393.

Sequence in context: A032852 A031990 A023747 * A031998 A023759 A004742

Adjacent sequences: A366973 A366974 A366975 * A366977 A366978 A366979

Keyword

nonn

Author

Tamas Sandor Nagy, Dec 16 2023

Status

approved