A093553 - OEIS

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A093553

a(n) is the smallest number m such that (m+k-1)/k is prime for k=1,2,...,n.

2, 3, 13, 12721, 19441, 5516281, 5516281, 7321991041, 363500177041, 2394196081201 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`This sequence is A074200 + 1. See that entry for more information and further terms. - N. J. A. Sloane, May 04 2009` `It is obvious that this sequence is increasing and each term is prime. If n>3 then a(n)==1 (mod 10).`
	EXAMPLE	`a(9)=363500177041 because all the nine numbers 363500177041,` `(363500177041+1)/2, (363500177041+2)/3, (363500177041+3)/4,` `(363500177041+4)/5, (363500177041+5)/6, (363500177041+6)/7,` `(363500177041+7)/8 and (363500177041+8)/9 are primes and` `363500177041 is the smallest number m such that (m+k-1)/k is prime for k=1,2,...,9.`
	CROSSREFS	`Cf. A072875.` `Sequence in context: A062648 A094003 A119987 * A027673 A119616 A056435` `Adjacent sequences: A093550 A093551 A093552 * A093554 A093555 A093556`
	KEYWORD	`more,nonn`
	AUTHOR	`Farideh Firoozbakht (mymontain(AT)yahoo.com), Apr 14 2004`

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.