id:A127436 - OEIS Search Results

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Primes associated with A127435.

+0
5

2, 5, 17, 37, 101, 257, 1297, 1601, 4357, 15877, 16901, 22501, 24337, 32401, 44101, 57601, 62501, 65537, 72901, 78401, 93637, 156817, 160001, 176401, 184901, 217157, 240101, 309137, 324901, 331777, 417317, 476101, 490001, 562501, 577601, 682277 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`A sequence with P=a(k) distinct numbers contains a subsequence of p=A127435(k) monotonically increasing or decreasing terms, according to a corollary of the Erdos-Szekeres theorem.`
	FORMULA	`a(n) = (A127435(n)-1)^2 + 1.`
	MATHEMATICA	`Select[(Prime@Range[300] - 1)^2 + 1, PrimeQ] (Chandler)`
	CROSSREFS	`Cf. A127435. Subsequence of A045349.` `Sequence in context: A078523 A078324 A002496 this_sequence A064168 A118727 A042361` `Adjacent sequences: A127433 A127434 A127435 this_sequence A127437 A127438 A127439`
	KEYWORD	`nonn`
	AUTHOR	`Lekraj Beedassy (blekraj(AT)yahoo.com), Jan 14 2007`
	EXTENSIONS	`Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jan 23 2007`

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

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