Penta-power prime seeds: Difference between revisions
m
→{{header|Python}}
Thundergnat (talk | contribs) m (syntax highlighting fixup automation) |
|||
Line 207:
nine million is 9,100,671 (the seventy-first)
ten million is 10,347,035 (the seventy-second)
</pre>
=={{header|Python}}==
<syntaxhighlight lang=python>from sympy import isprime
def ispentapowerprime(n):
return all(isprime(i) for i in [n + 2, n + n + 1, n**2 + n + 1, n**3 + n + 1, n**4 + n + 1])
ppprimes = [i for i in range(10_400_000) if ispentapowerprime(i)]
for i in range(50):
print(f'{ppprimes[i]: 11,}', end='\n' if (i + 1) % 10 == 0 else '')
for n in range(1_000_000, 10_000_001, 1_000_000):
proot = next(filter(lambda x: x > n, ppprimes))
print(f'The first penta-power prime seed over {n:,} is {proot:,}')
</syntaxhighlight>{{out}}
<pre>
1 5 69 1,665 2,129 25,739 29,631 62,321 77,685 80,535
82,655 126,489 207,285 211,091 234,359 256,719 366,675 407,945 414,099 628,859
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
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
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
The first penta-power prime seed over 1,000,000 is 1,121,189
The first penta-power prime seed over 2,000,000 is 2,066,079
The first penta-power prime seed over 3,000,000 is 3,127,011
The first penta-power prime seed over 4,000,000 is 4,059,525
The first penta-power prime seed over 5,000,000 is 5,279,175
The first penta-power prime seed over 6,000,000 is 6,320,601
The first penta-power prime seed over 7,000,000 is 7,291,361
The first penta-power prime seed over 8,000,000 is 8,334,915
The first penta-power prime seed over 9,000,000 is 9,100,671
The first penta-power prime seed over 10,000,000 is 10,347,035
</pre>
| |||