id:A117190 - OEIS Search Results

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Integer k such that 10^n + k = A115062(n).

+0
2

1, 1, 1, -3, 7, 3, 3, -9, 7, 7, 19, 3, -11, -29, -27, -11, 61, -3, 3, -39, -11, -101, 9, -23, 7, 13, 67, -99, -209, -27, -11, -27, -21, -9, 193, -23, 67, 43, -59, 3, -17, 109, 63, 57, 31, -9, -33, 33, -33, 9, -57, 121, -231, 171, 31, 21, 3, -93, -149, 19, 7, -39, -83, 121, -51, 49, 49, 49, 99, 9, 33, -53, 39, 79, -47, 129, 133 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`For terms after the first several, 10^n + a(n) is only known to be a highly probable prime. If, for m>0, 10^n - m and 10^n + m are both nearest primes to 10^n, a(n) = -m. For example, a(17) = -3 as 10^17-3 and 10^17+3 are the nearest primes to 10^17. Similarly, a(45) = -9 with both 10^45-9 and 10^45+9 prime.`
	FORMULA	`a(n) = A115062(n) - 10^n.`
	EXAMPLE	`a(4) = 7 as 10^4 + 7 = 10007 = A115062(4), the nearest prime to 10^4.`
	CROSSREFS	`Cf. A115062.` `Adjacent sequences: A117187 A117188 A117189 this_sequence A117191 A117192 A117193` `Sequence in context: A010623 A066065 A065443 this_sequence A113584 A111383 A021968`
	KEYWORD	`sign`
	AUTHOR	`Rick L. Shepherd (rshepherd2(AT)hotmail.com), Mar 02 2006`

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.

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