Dyskusja:Liczby Fermata
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[edytuj] Fermat numbers in hexadecimal representation
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 |
- Well, and what's the meaning of p(x)? The rest of this text is obvious. Olaf @ 21:30, 9 paź 2007 (CEST)
p(1) = 2 ist the first prime number, p(2) = 3 the second ... and so on. --87.123.69.50 15:56, 11 paź 2007 (CEST)
