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A200525
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Zeisel numbers with p(0)=4.
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0
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385, 2585, 7315, 8911, 27001, 39905, 48391, 87283, 192211, 196285, 319705, 410089, 425585, 441091, 624605, 679855, 1310185, 1899163, 2460439, 2586971, 2777041, 6654005, 7042411, 7501261, 8291459, 9516637, 10484585, 11141671, 12527281, 13015891, 13788319
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OFFSET
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1,1
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COMMENTS
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Pick any integers A and B and consider the linear recurrence relation given by p(0) = 4, p(i + 1) = A*p(i) + B. If for some n > 2, p(1), p(2), ..., p(n) are distinct primes, then the product of these primes is called a Zeisel number.
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LINKS
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EXAMPLE
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a=2, b=-3 => p(1) = (4*2)+(-3) = 5; p(2) = (5*2)+(-3) = (7); p(3) = (7*2)+(-3) = 11 => 5*7*11 = 385.
a=2, b=5 => p(1) = (4*2)+5 = 13; p(2) = (13*2)+5 = 31; p(3) = (31*2)+5 = 67 => 13*31*67 = 27001.
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PROG
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(Rexx)
n0=4
do m=1 to 53
a=2*m
do b=(1-(4*a)) to 999
n1=(n0*a)+b
n2=(n1*a)+b
n3=(n2*a)+b
z=n1*n2*n3
say n0 a b
lineout("zeisel_4.txt", z||" = "||n1||"*"||n2||"*"||n3||" "||a||" "||b||" n0="||n0)
end
end
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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