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A373404
Sum of the n-th maximal antirun of composite numbers differing by more than one.
15
18, 9, 36, 15, 54, 21, 46, 25, 26, 27, 90, 33, 34, 35, 74, 39, 126, 45, 94, 49, 50, 51, 106, 55, 56, 57, 180, 63, 64, 65, 134, 69, 216, 75, 76, 77, 158, 81, 166, 85, 86, 87, 178, 91, 92, 93, 94, 95, 194, 99, 306, 105, 324, 111, 226, 115, 116, 117, 118, 119
OFFSET
1,1
COMMENTS
The length of this antirun is given by A373403.
An antirun of a sequence (in this case A002808) is an interval of positions at which consecutive terms differ by more than one.
EXAMPLE
Row sums of:
4 6 8
9
10 12 14
15
16 18 20
21
22 24
25
26
27
28 30 32
33
34
35
36 38
39
40 42 44
MATHEMATICA
Total/@Split[Select[Range[100], CompositeQ], #1+1!=#2&]//Most
CROSSREFS
Partial sums are a subset of A053767 (partial sums of composite numbers).
Functional neighbors: A005381, A054265, A068780, A373403, A373405, A373411, A373412.
A000040 lists the primes, differences A001223.
A002808 lists the composite numbers, differences A073783.
A046933 counts composite numbers between primes.
A065855 counts composite numbers up to n.
Sequence in context: A181761 A233471 A040309 * A146676 A147438 A033965
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jun 05 2024
STATUS
approved