Keskustelu:Fermat’n luku

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Fermat numbers in hexadecimal representation[muokkaa wikitekstiä]

Sorry for using english. Please include these tables in the article. The hexadecimal table could seem redundant, but hexadecimal is the most appropriate representation for Fermat numbers, and the first table is only necessary for people wo cant read them ; ) Greetings...

F0 = 21 + 1 = 3
F1 = 22 + 1 = 5
F2 = 24 + 1 = 17
F3 = 28 + 1 = 257
F4 = 216 + 1 = 65.537
F5 = 232 + 1 = 4.294.967.297
= 641 × 6.700.417
F6 = 264 + 1 = 18.446.744.073.709.551.617
= 274.177 × 67.280.421.310.721
F7 = 2128 + 1 = 340.282.366.920.938.463.463.374.607.431.768.211.457
= 59.649.589.127.497.217 × 5.704.689.200.685.129.054.721
F8 = 2256 + 1 = 115.792.089.237.316.195.423.570.985.008.687.907.853.269.984.665.640.564.039.457.584.007.913.129.639.937
= 1238.926.361.552.897 × 93.461.639.715.357.977.769.163.558.199.606.896.584.051.237.541.638.188.580.280.321


The same in hexadecimal numbers:

F0 = 2 1 + 1 = 3 = p(2)
F1 = 2 2 + 1 = 5 = p(3)
F2 = 2 4 + 1 = 11 = p(7)
F3 = 2 8 + 1 = 101 = p(37hex) = p(55dec)
F4 = 210 + 1 = 1.0001 = p(198Fhex) = p(6543dec)
F5 = 220 + 1 = 1.0000.0001
F6 = 240 + 1 = 1.0000.0000.0000.0001
F7 = 280 + 1 = 1.0000.0000.0000.0000.0000.0000.0000.0001
F8 = 2100 + 1 = 1.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0001

--87.123.69.50 11. lokakuuta 2007 kello 13.44 (UTC)