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A138266
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Balanced prime numbers n such that n*(n+1)-1 is a balanced prime.
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0
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113921, 114083, 375163, 760933, 1065893, 1432583, 2362153, 2935453, 3294293, 3390719, 3591781, 3699011, 3981119, 4489273, 5371801, 5780513, 6233693, 6297223, 6470231, 6830041, 6982021, 7036193, 7164673, 7490221, 8266229, 8577623, 8608291, 8698241, 8805163
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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NextPrime[n_Int]:=Module[{k}, k=n+1; While[ !PrimeQ[k], k++ ]; k]; PrevPrime[n_Int]:=Module[{k}, k=n-1; While[ !PrimeQ[k], k-- ]; k]; s=""; For[i=2, i< 10^5*2, p=Prime[i]; If[(Prime[i-1]+Prime[i+1])/2==p, r=p*(p+1)-1; a=PrevPrime[r]; b=NextPrime[r]; If[PrimeQ[r]&&r==(a+b)/2, (*Print[p, ":", a, ", ", b, "; ", r]*)s=s<>ToString[p]<>", "]]; i++ ]; Print[s]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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