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Search: id:A059844
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| A059844 |
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Squares arising in p=x^2+n, where p is the smallest prime of this form. Smallest q squares > 0 so that q+n is a prime. |
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| 1, 1, 4, 1, 36, 1, 4, 9, 4, 1, 36, 1, 4, 9, 4, 1, 36, 1, 4, 9, 16, 1, 36, 49, 4, 81, 4, 1, 144, 1, 16, 9, 4, 9, 36, 1, 4, 9, 4, 1, 576, 1, 4, 9, 16, 1, 36, 25, 4, 9, 16, 1, 36, 25, 4, 81, 4, 1, 324, 1, 36, 9, 4, 9, 36, 1, 4, 81, 4, 1, 36, 1, 16, 9, 4, 25, 36, 1, 4, 9, 16, 1, 144, 25, 4, 81
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OFFSET
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1,3
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FORMULA
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a(n)+n is the smallest prime with x^2+n form, where x^2=a(n).
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EXAMPLE
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n=24,a(24)=49 and 49+24=73 the first prime of x^2+24 form. For n=24 in 24+{1,4,9,16,25,36,49}={25,28,33,40,49,60,73) 49=p-n is the first prime generating square number.
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CROSSREFS
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A002496, A056899, A049423, A005473, A056905, A056909.
Sequence in context: A123126 A051142 A075804 this_sequence A091741 A061036 A011801
Adjacent sequences: A059841 A059842 A059843 this_sequence A059845 A059846 A059847
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Feb 26 2001
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