A130474 - OEIS

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A130474

Prime numbers p of the form p=x^2+y^3 such that q =A130475(n)= abs(x^2-y^3) is prime and smaller than p.

5, 31, 43, 89, 127, 241, 269, 283, 379, 449, 449, 487, 521, 593, 811, 919, 953, 1009, 1051, 1601, 2017, 2089, 2089, 2143, 2341, 2521, 2521, 2609, 2731, 2953, 3041, 3163, 3391, 3631, 3943, 4051, 4129, 4159, 4481, 4481, 4651, 4931, 4969, 5113, 5209, 5309 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	FORMULA	`a(n)= x^2+y^3 and A130475(n)=q=abs(x^2-y^3); a(n) > A130475(n);a(n) and A130475(n) are in A000040 (prime numbers)`
	EXAMPLE	`a(4)= 89 because 89= 9^2+2^3= 81 + 8 and A130475(4)= 73 =abs(9^2-2^3)= abs(81-8) ; A130475(4) < a(4) ; A130475(4) and a(4) are prime numbers, members of A000040.` `a(5)= 127 because 127= 10^2+ 3^3= 100 + 27 and A130475(5)= 73 = abs(10^2-3^3)= abs(100-27) ; A130475(5) < a(5) ; A130475(5) and a(5) are prime numbers, members of A000040.` `a(9)= 379 because 379= 6^2 + 7^3= 36 + 343 and A130475(9)= 307 = abs(6^2-7^3)= abs(36-343) ; A130475(9) < a(9) ; A130475(9) and a(9) are prime numbers, members of A000040.`
	CROSSREFS	`Cf. A000040; A130475.` `Sequence in context: A166306 A027761 A162665 * A147033 A125743 A078686` `Adjacent sequences: A130471 A130472 A130473 * A130475 A130476 A130477`
	KEYWORD	`easy,nonn`
	AUTHOR	`Tomas Xordan (xordan.tom(AT)gmail.com), May 28 2007`

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Last modified February 17 13:28 EST 2012. Contains 206031 sequences.