id:A117131 - OEIS Search Results

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Remainder when n^n is divided by the n-th prime number.

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1, 1, 2, 4, 1, 12, 12, 7, 2, 6, 24, 26, 11, 6, 30, 15, 9, 41, 39, 32, 51, 64, 78, 4, 72, 43, 89, 25, 31, 109, 26, 62, 80, 36, 9, 72, 132, 140, 105, 52, 132, 135, 117, 147, 79, 193, 93, 49, 175, 76, 64, 187, 196, 9, 163, 221, 190, 62, 102, 280, 71, 87, 102, 268, 145, 54, 316, 9 (list; graph; listen)

	OFFSET	`1,3`
	FORMULA	`a(n)=mod(n^n,prime(n))`
	EXAMPLE	`a(8)=7 because 8^8 is 16777216, the 8th prime is 19, and 16777216 modulo 19 is 7.`
	CROSSREFS	`Cf. A069547.` `Sequence in context: A124503 A114499 A030730 this_sequence A030043 A045497 A117258` `Adjacent sequences: A117128 A117129 A117130 this_sequence A117132 A117133 A117134`
	KEYWORD	`easy,nonn`
	AUTHOR	`Axel Harvey (ax(AT)hirsig.ca), Jul 23 2006`
	EXTENSIONS	`More terms from Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jul 26 2006`

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

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