Rigidity matroid

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Prime gap function

In number theory, Firoozbakht’s conjecture, also known as the Firoozbakht conjecture,[1][2][3] states that (where is the nth prime) is a strictly decreasing function of n, i.e.,

for all

Equivalently: for all

Another equivalent statement, for all is the motivating reason for the sequence Physiotherapist Rave from Cobden, has hobbies and interests which includes skateboarding, commercial property for sale developers in singapore and coin collecting. May be a travel freak and in recent years made a journey to Wet Tropics of Queensland..

The conjecture is named after Farideh Firoozbakht, from the University of Isfahan, who stated it in 1982. If this conjecture is true, then the prime gap function satisfies which is sharper than Cramér's conjecture Currently, the largest stated verification was done by using "Maximal gaps between consecutive primes less than 4.444 * 1012" by Firoozbakht. Using a table of maximal gaps and the above gap inequality, the confirmation value can be extended to all primes below 4Template:E.[4]

The conjecture is believed to be false, as it contradicts the Cramér–Granville heuristic. If it were true it would imply the weaker Cramér conjecture.

See also

Notes

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References

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43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

Template:Prime number classes