What is the 4679th prime number?
The 4679th prime number is 45061. The next prime is 45077 (a gap of 16) and the one before is 45053.
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 4679th one is 45061.
- 2
45061 is prime because no prime up to ā45061 ā 212.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4679th prime is close to 4679 Ć ln(4679) ā 39541, and here it is 45061.
- 4
45061 has no twin: neither 45059 nor 45063 is prime.
Primes around the 4679th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4676 | 45007 | 20 |
| 4677 | 45013 | 6 |
| 4678 | 45053 | 40 |
| 4679 | 45061 | 8 |
| 4680 | 45077 | 16 |
| 4681 | 45083 | 6 |
| 4682 | 45119 | 36 |
Questions
What is the 4679th prime number?
45061.
Which prime number is 45061?
45061 is the 4679th prime number.
What is the sum of the first 4679 primes?
99,413,534.