What does 3-PRP means exactly ? (in pfgw primality test)

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When i do primality test for large integers with the software pfgw, it returns either composite or 3-PRP.

1: What does 3-PRP means exactly?

2: What is the error ratio?

3: When the test return Composite, does it mean "probably composite"?




prime-numbers primality-test




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  • strangely, there is not much information when i google this...
    – François Huppé
    yesterday






  • 1




    The result "composite" is definitely correct. If the result is $3-PRP$, the number is very probably prime, unless it has a very special form. I am not sure, whether pfgw applies the weak or the strong Fermat-pseudoprime-test.
    – Peter
    6 hours ago














up vote
2
down vote

favorite












When i do primality test for large integers with the software pfgw, it returns either composite or 3-PRP.

1: What does 3-PRP means exactly?

2: What is the error ratio?

3: When the test return Composite, does it mean "probably composite"?




prime-numbers primality-test




share|cite|improve this question



















  • strangely, there is not much information when i google this...
    – François Huppé
    yesterday






  • 1




    The result "composite" is definitely correct. If the result is $3-PRP$, the number is very probably prime, unless it has a very special form. I am not sure, whether pfgw applies the weak or the strong Fermat-pseudoprime-test.
    – Peter
    6 hours ago












up vote
2
down vote

favorite









up vote
2
down vote

favorite











When i do primality test for large integers with the software pfgw, it returns either composite or 3-PRP.

1: What does 3-PRP means exactly?

2: What is the error ratio?

3: When the test return Composite, does it mean "probably composite"?




prime-numbers primality-test




share|cite|improve this question











When i do primality test for large integers with the software pfgw, it returns either composite or 3-PRP.

1: What does 3-PRP means exactly?

2: What is the error ratio?

3: When the test return Composite, does it mean "probably composite"?





prime-numbers primality-test





share|cite|improve this question










share|cite|improve this question




share|cite|improve this question









asked yesterday









François Huppé

14910




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  • strangely, there is not much information when i google this...
    – François Huppé
    yesterday






  • 1




    The result "composite" is definitely correct. If the result is $3-PRP$, the number is very probably prime, unless it has a very special form. I am not sure, whether pfgw applies the weak or the strong Fermat-pseudoprime-test.
    – Peter
    6 hours ago
















  • strangely, there is not much information when i google this...
    – François Huppé
    yesterday






  • 1




    The result "composite" is definitely correct. If the result is $3-PRP$, the number is very probably prime, unless it has a very special form. I am not sure, whether pfgw applies the weak or the strong Fermat-pseudoprime-test.
    – Peter
    6 hours ago















strangely, there is not much information when i google this...
– François Huppé
yesterday




strangely, there is not much information when i google this...
– François Huppé
yesterday




1




1




The result "composite" is definitely correct. If the result is $3-PRP$, the number is very probably prime, unless it has a very special form. I am not sure, whether pfgw applies the weak or the strong Fermat-pseudoprime-test.
– Peter
6 hours ago




The result "composite" is definitely correct. If the result is $3-PRP$, the number is very probably prime, unless it has a very special form. I am not sure, whether pfgw applies the weak or the strong Fermat-pseudoprime-test.
– Peter
6 hours ago















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