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A344385 Numbers k of least prime signature (A025487) such that k-1 or k+1 is prime. 2
1, 2, 4, 6, 8, 12, 16, 24, 30, 32, 36, 48, 60, 72, 96, 128, 180, 192, 210, 240, 256, 360, 384, 420, 432, 480, 576, 720, 768, 840, 864, 1152, 1260, 1296, 1440, 1800, 2160, 2310, 2520, 2592, 2880, 3360, 3456, 4620, 5040, 5400, 6144, 6300, 6480, 6720, 6912, 7560 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The corresponding prime numbers are A344384.

64 is the first number of least prime signature not in this sequence.

Questions: 1) Is this sequence infinite? 2) Is log(a(n)) = O(log(n)^2)? For the first 132 terms, log(a(n)) is fit unusually well by a quadratic polynomial in log(n).

LINKS

Hal M. Switkay, Table of n, a(n) for n = 1..132

EXAMPLE

16 is a term because 16 is in A025487 and 16 + 1 is prime.

MATHEMATICA

(* Load the function f[n] at A025487, then: *)

Select[Union@ Flatten@ f[6], AnyTrue[# + {-1, 1}, PrimeQ] &]

(* or use the b-file at A025487: *)

Select[TakeWhile[Import["https://oeis.org/A025487/b025487.txt", "Data"], Length@ # == 2 &][[All, -1]], AnyTrue[# + {-1, 1}, PrimeQ] &] (* Michael De Vlieger, May 16 2021 *)

CROSSREFS

Cf. A000040, A025487, A344384.

Sequence in context: A333964 A279537 A325238 * A070175 A096850 A250270

Adjacent sequences:  A344382 A344383 A344384 * A344386 A344387 A344389

KEYWORD

nonn

AUTHOR

Hal M. Switkay, May 16 2021

STATUS

approved

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Last modified August 5 20:01 EDT 2021. Contains 346488 sequences. (Running on oeis4.)