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)