id:A056902 - OEIS Search Results

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Numbers n where 36n^2+24n+7 is prime (sorted by absolute values with negatives before positives).

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0, -1, 1, -2, 2, -4, -5, 6, 8, -9, 10, -11, -12, 12, -13, 15, -16, -18, -19, 20, -22, 22, 23, 24, -26, 26, -27, -29, -30, 36, 38, 40, -41, 41, -43, -46, -48, -50, -51, -53, -54, 54, -57, 58, 59, -61, 61, 66, -68, 69, -71, -72, 72, 73, 76, 78, -79, -81, -85, 85, 87 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`36m^2+24m+7=(6m+2)^2+3 which is three more than a square`
	FORMULA	`36a(n)^2+24a(n)+7=A049423(n+1).`
	EXAMPLE	`a(3)=-2 since 36(-2)^2+24(-2)+7=144-48+7=103 which is prime`
	CROSSREFS	`This sequence and formula generate all but the first prime of the form k^2+3, i.e. A049423.` `Adjacent sequences: A056899 A056900 A056901 this_sequence A056903 A056904 A056905` `Sequence in context: A059015 A024683 A071528 this_sequence A089676 A062436 A121269`
	KEYWORD	`sign`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Jul 06 2000`

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.

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