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 A104335 Positive integers n such that n^14 + 1 is semiprime (A001358). 13
 4, 74, 94, 116, 270, 464, 556, 654, 1140, 1156, 1246, 1306, 1736, 2464, 2470, 2604, 2804, 2836, 2900, 3054, 3890, 4006, 4056, 4330, 4736, 4780, 5016, 5294, 5340, 5486, 5700, 5834, 6434, 7114, 7304, 8626, 8880, 9164, 9546, 9744, 9980, 10086, 10166 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS x^14+1 has factors (1 + x^2) (1 - x^2 + x^4 - x^6 + x^8 - x^10 + x^12). LINKS Robert Price, Table of n, a(n) for n = 1..1114 EXAMPLE 4^14 + 1 = 268435457 = 17 * 15790321, 74^14 + 1 = 147653612273582215982104577 = 5477 * 26958848324553992328301, 1140^14 + 1 = 6261349103849104148619671961600000000000001 = 1299601 * 4817901112610027345792802530622860401. MATHEMATICA Select[ Range[2, 10422, 2], PrimeQ[ #^2 + 1] && PrimeQ[ #^12 - #^10 + #^8 - #^6 + #^4 - #^2 + 1] &] (*Robert G. Wilson v, Apr 18 2005 *) Select[Range[2, 10200, 2], PrimeOmega[#^14+1]==2&] (* Harvey P. Dale, Oct 16 2011 *) CROSSREFS Cf. A001358, A085722, A096173, A186669, A104238, A103854, A105041, A105066, A105078, A105122, A105142, A105237, A104335, A104479, A104494, A104657, A105282. Sequence in context: A353740 A090212 A137046 * A156494 A232371 A114878 Adjacent sequences: A104332 A104333 A104334 * A104336 A104337 A104338 KEYWORD easy,nonn AUTHOR Jonathan Vos Post, Apr 17 2005 EXTENSIONS More terms from Robert G. Wilson v, Apr 18 2005 STATUS approved

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Last modified July 24 15:09 EDT 2024. Contains 374584 sequences. (Running on oeis4.)