A379296 First differences of A379290.

7, 4, 29, 46, 6, 139, 8, 171, 239, 8, 10, 500, 6, 12, 822, 6, 6, 124, 6, 6, 6, 6, 1211, 1839, 8, 6, 6, 6, 6, 6, 168, 5546, 8, 24, 122, 6, 14, 6, 6, 6, 6, 6, 3109, 6, 10, 4565, 6, 34, 574, 6, 34, 6, 6, 6, 6, 6, 6, 11195, 6, 36, 6, 6, 426, 418, 8, 42, 10068, 8, 8, 6, 6, 6, 6, 25229, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 686, 6, 64, 6, 6, 6, 6, 394, 22241, 8, 6

Offset: 1

Author

Scott R. Shannon, Dec 20 2024

Keywords

• nonn

Comments

These are the differences between the indices where the prime terms appear in A379248. See that sequence for further details. Note the long runs of 6 - see the example below.

Examples

			A379248(1169) = 41, A379248(1175) = 43, with a difference in indices of 6. Worth noting is the values of the terms in this, and similar, ranges:
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A379248(1167) = 943 = 23*41 , the lowest unseen multiple of 23.
A379248(1168) = 1681 = 41^2.
A379248(1169) = 41.
A379248(1170) = 3362 = 2*41^2 , which shows the pattern of p^2 -> p -> 2*p^2.
A379248(1171) = 697 = 17*41 , the lowest unseen multiple of 17.
A379248(1172) = 2023 = 7*17^2 , the lowest unseen multiple of 17^2.
A379248(1173) = 731 = 17*43, the lowest unseen multiple of 17.
A379248(1174) = 1849 = 43^2.
A379248(1175) = 43.
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Links

• Scott R. Shannon, Table of n, a(n) for n = 1..250

Crossrefs

Cf. A379290, A379248, A379291, A379296, A064413, A064955.