A284669 - OEIS

A284669

Three-column array read by rows: the first row consists of the first two primes, p = 2 and q = 3, and their sum s = p + q = 5; afterwards the (n+1)-st row consists of the smallest pair of consecutive primes whose sum is a multiple of the sum in the n-th row followed by their sum.

2, 3, 5, 13, 17, 30, 29, 31, 60, 59, 61, 120, 113, 127, 240, 239, 241, 480, 953, 967, 1920, 3833, 3847, 7680, 15359, 15361, 30720, 30713, 30727, 61440, 368633, 368647, 737280, 737279, 737281, 1474560, 16220143, 16220177, 32440320, 32440319, 32440321, 64880640, 194641919 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`Values of k (ratio of consecutive sums): 6, 2, 2, 2, 2, 4, 4, 4, 2, 12, 2, 22, 2, 6, 5, 5, 20, 4, 12, 15, 22, 27, 8, 13, 20, 5, 12, 28, 22, 55, 3, 8, 29, 12, 18, 6, 39, 22, 11, 34, 3, 162, 24, 4, 25, 15, 7, 4, 6, 10.` `Values of p (1st column): 2, 13, 29, 59, 113, 239, 953, 3833, 15359, 30713, 368633, 737279, 16220143, 32440319, 194641919, 973209577, 4866047987, 97320959993, 389283839993, 4671406079947, 70071091199959, 1541564006399999, 41622228172799993, 332977825382399987, 4328711729971199933, 86574234599423999983, 432871172997119999999, 5194454075965439999993, 145444714127032319999971, 3199783710794711039999977, 175988104093709107199999981`
	LINKS	`Table of n, a(n) for n=1..43.`
	EXAMPLE	`In the 2nd row, 13 + 17 = 30 = 65, then 29 + 31 = 60 = 230, 59 + 61 = 120 = 2*60, etc.`
	CROSSREFS	`Sequence in context: A235638 A227829 A231481 * A154554 A105879 A066111` `Adjacent sequences: A284666 A284667 A284668 * A284670 A284671 A284672`
	KEYWORD	`nonn,tabf`
	AUTHOR	`Zak Seidov, Apr 01 2017`
	STATUS	`approved`