Penta-power prime seeds: Difference between revisions
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82655 126489 207285 211091 234359 256719 366675 407945 414099 628859 |
82655 126489 207285 211091 234359 256719 366675 407945 414099 628859 |
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644399 770531 781109 782781 923405 1121189 1158975 1483691 1490475 1512321</syntaxhighlight> |
644399 770531 781109 782781 923405 1121189 1158975 1483691 1490475 1512321</syntaxhighlight> |
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=={{header|Java}}== |
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<syntaxhighlight lang="java"> |
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import java.math.BigInteger; |
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public final class PentaPowerPrimeSeeds { |
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public static void main(String[] args) { |
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System.out.println("The first 30 penta-power prime seeds:"); |
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int index = 0; |
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int number = 1; |
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boolean searching = true; |
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while ( searching ) { |
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if ( isPentaPowerPrimeSeed(number) ) { |
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index += 1; |
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if ( index <= 30 ) { |
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System.out.print(String.format("%7d%s", number, ( index % 6 == 0 ? "\n" : " " ))); |
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} else if ( number > 10_000_000 ) { |
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System.out.println(); |
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System.out.println("The first penta-power prime seed greater than 10,000,000 is " |
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+ number + " at index " + index); |
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searching = false; |
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} |
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} |
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number += 2; |
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} |
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} |
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private static boolean isPentaPowerPrimeSeed(long number) { |
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BigInteger p = BigInteger.ONE; |
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BigInteger nPlus1 = BigInteger.valueOf(number + 1); |
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for ( int i = 0; i <= 4; i++ ) { |
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if ( ! p.add(nPlus1).isProbablePrime(15) ) { |
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return false; |
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} |
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p = p.multiply(BigInteger.valueOf(number)); |
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} |
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return true; |
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} |
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} |
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</syntaxhighlight> |
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{{ out }} |
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<pre> |
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The first 30 penta-power prime seeds: |
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1 5 69 1665 2129 25739 |
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29631 62321 77685 80535 82655 126489 |
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207285 211091 234359 256719 366675 407945 |
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414099 628859 644399 770531 781109 782781 |
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923405 1121189 1158975 1483691 1490475 1512321 |
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The first penta-power prime seed greater than 10,000,000 is 10347035 at index 72 |
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</pre> |
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=={{header|Julia}}== |
=={{header|Julia}}== |
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