Penta-power prime seeds: Difference between revisions
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nine million is 9,100,671 (the seventy-first) |
nine million is 9,100,671 (the seventy-first) |
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ten million is 10,347,035 (the seventy-second) |
ten million is 10,347,035 (the seventy-second) |
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</pre> |
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=={{header|Python}}== |
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<syntaxhighlight lang=python>from sympy import isprime |
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def ispentapowerprime(n): |
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return all(isprime(i) for i in [n + 2, n + n + 1, n**2 + n + 1, n**3 + n + 1, n**4 + n + 1]) |
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ppprimes = [i for i in range(10_400_000) if ispentapowerprime(i)] |
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for i in range(50): |
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print(f'{ppprimes[i]: 11,}', end='\n' if (i + 1) % 10 == 0 else '') |
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for n in range(1_000_000, 10_000_001, 1_000_000): |
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proot = next(filter(lambda x: x > n, ppprimes)) |
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print(f'The first penta-power prime seed over {n:,} is {proot:,}') |
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</syntaxhighlight>{{out}} |
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<pre> |
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1 5 69 1,665 2,129 25,739 29,631 62,321 77,685 80,535 |
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82,655 126,489 207,285 211,091 234,359 256,719 366,675 407,945 414,099 628,859 |
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644,399 770,531 781,109 782,781 923,405 1,121,189 1,158,975 1,483,691 1,490,475 1,512,321 |
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1,711,991 1,716,989 1,780,485 1,791,041 1,835,589 1,860,011 1,861,259 1,980,441 2,066,079 2,211,705 |
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2,215,529 2,271,009 2,413,265 2,514,161 2,915,109 2,940,405 3,127,011 3,587,319 3,890,769 3,992,379 |
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The first penta-power prime seed over 1,000,000 is 1,121,189 |
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The first penta-power prime seed over 2,000,000 is 2,066,079 |
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The first penta-power prime seed over 3,000,000 is 3,127,011 |
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The first penta-power prime seed over 4,000,000 is 4,059,525 |
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The first penta-power prime seed over 5,000,000 is 5,279,175 |
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The first penta-power prime seed over 6,000,000 is 6,320,601 |
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The first penta-power prime seed over 7,000,000 is 7,291,361 |
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The first penta-power prime seed over 8,000,000 is 8,334,915 |
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The first penta-power prime seed over 9,000,000 is 9,100,671 |
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The first penta-power prime seed over 10,000,000 is 10,347,035 |
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</pre> |
</pre> |
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