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user8140
  • Member for 14 years, 4 months
  • Last seen more than 1 year ago
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awarded
 Yearling
comment
Conjecture:if $i<j$,then $\pi(p[i]+i)-i<=\pi(p[j]+j)-j+1$
t = Table[pi[p[n] + n] - n, {n, 1, 10000}]; ListPlot[{t}]
revised
Conjecture:if $i<j$,then $\pi(p[i]+i)-i<=\pi(p[j]+j)-j+1$
added 271 characters in body
awarded
 Supporter
revised
Conjecture:if $i<j$,then $\pi(p[i]+i)-i<=\pi(p[j]+j)-j+1$
deleted 21 characters in body
comment
Conjecture:if $i<j$,then $\pi(p[i]+i)-i<=\pi(p[j]+j)-j+1$
Playing primes is just like playing chess with Zeus.
accepted
Conjecture:if $i<j$,then $\pi(p[i]+i)-i<=\pi(p[j]+j)-j+1$
comment
Conjecture:if $i<j$,then $\pi(p[i]+i)-i<=\pi(p[j]+j)-j+1$
you are right! Mathematica code: Table[pi[p[n] + n] - n, {n, 1, 100}] {1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 3, 3, 2, 3, 3, 4, 4, 4, 4, 3, 4, 4, \ 6, 5, 5, 4, 4, 4, 4, 6, 6, 6, 6, 7, 6, 7, 8, 7, 7, 6, 6,... my conjecture is false.
revised
Conjecture:if $i<j$,then $\pi(p[i]+i)-i<=\pi(p[j]+j)-j+1$
added 66 characters in body
asked
Conjecture:if $i<j$,then $\pi(p[i]+i)-i<=\pi(p[j]+j)-j+1$
comment
What are the common attributes of K5 and K3,3?
Thank you! perhaps to think question like this is a bad habit.
asked
What are the common attributes of K5 and K3,3?
awarded
 Commentator
comment
Gamma(e)=Pi/2,Zeta(e)=4/Pi ?
what is the precision of the result Gamma(e)=1.567468255, zeta(e)=1.269009604?
asked
Gamma(e)=Pi/2,Zeta(e)=4/Pi ?
revised
Average of twin prime pairs is Abundant number, except for 4 and 6. Any prime is a factor of average of twin prime pair
added 116 characters in body; edited title
awarded
 Student
accepted
Average of twin prime pairs is Abundant number, except for 4 and 6. Any prime is a factor of average of twin prime pair
revised
Average of twin prime pairs is Abundant number, except for 4 and 6. Any prime is a factor of average of twin prime pair
added 1 characters in body; edited title
asked
Average of twin prime pairs is Abundant number, except for 4 and 6. Any prime is a factor of average of twin prime pair
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