A174408 - OEIS

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A174408

Primes of the form A174335(i)-1 or A174335(i)+1.

17, 257, 2591, 2593, 239999, 2488319, 27659519, 27659521, 330301441, 4232632319, 58060799999, 13243436236801, 70614415872000001, 3429209878281350809286344704000001, 1665505492033205854772229590583093971095149084672000000001 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	LINKS	`Table of n, a(n) for n=1..15.`
	FORMULA	`a(n) = {A000040(i)} INTERSECTION ({16(j^3)(j!) - 1} UNION {16(k^3)(k!) - 1}).`
	EXAMPLE	`a(1) = 17 = 16 * 1^3 * 1! + 1 is prime.` `a(2) = 257 = 16 * 2^3 * 2! + 1 is prime.` `a(3) = 2591 = 16 * 3^3 * 3! - 1 is prime.` `a(4) = 2593 = 16 * 3^3 * 3! + 1 is prime.` `a(5) = 239999 = 16 * 5^3 * 5! - 1 is prime.` `a(6) = 2488319 = 16 * 6^3 * 6! - 1 is prime.` `a(7) = 27659519 = 16 * 7^3 * 7! - 1 is prime.` `a(8) = 27659521 = 16 * 7^3 * 7! + 1 is prime.` `a(9) = 330301441 = 16 * 8^3 * 8! + 1 is prime.` `a(10) = 4232632319 = 16 * 9^3 * 9! - 1 is prime.` `a(11) = 58060799999 = 16 * 10^3 * 10! - 1 is prime.` `a(12) = 13243436236801 = 16 * 12^3 * 12! + 1 is prime.` `a(13) = 70614415872000001 = 16 * 15^3 * 15! + 1 is prime.`
	MAPLE	`A174335 := proc(n) 16n^3n! ; end proc: for i from 1 to 60 do a := A174335(i) ; if isprime(a-1) then printf("%d, ", a-1) ; end if; if isprime(a+1) then printf("%d, ", a+1) ; end if; end do: # R. J. Mathar, Apr 15 2010`
	CROSSREFS	`Cf. A000040, A000142, A000578, A174335.` `Sequence in context: A342481 A355876 A337846 * A260072 A260407 A193329` `Adjacent sequences: A174405 A174406 A174407 * A174409 A174410 A174411`
	KEYWORD	`easy,nonn`
	AUTHOR	`Jonathan Vos Post, Mar 19 2010`
	EXTENSIONS	`One more term from R. J. Mathar, Apr 15 2010`
	STATUS	`approved`

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Last modified August 29 18:55 EDT 2024. Contains 375518 sequences. (Running on oeis4.)