What is the 4759th prime number?
The 4759th prime number is 45971. The next prime is 45979 (a gap of 8) and the one before is 45959.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4759th one is 45971.
- 2
45971 is prime because no prime up to ā45971 ā 214.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4759th prime is close to 4759 Ć ln(4759) ā 40298, and here it is 45971.
- 4
45971 has no twin: neither 45969 nor 45973 is prime.
Primes around the 4759th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4756 | 45949 | 6 |
| 4757 | 45953 | 4 |
| 4758 | 45959 | 6 |
| 4759 | 45971 | 12 |
| 4760 | 45979 | 8 |
| 4761 | 45989 | 10 |
| 4762 | 46021 | 32 |
Questions
What is the 4759th prime number?
45971.
Which prime number is 45971?
45971 is the 4759th prime number.
What is the sum of the first 4759 primes?
103,055,112.