What is the 4680th prime number?
The 4680th prime number is 45077. The next prime is 45083 (a gap of 6) and the one before is 45061.
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 4680th one is 45077.
- 2
45077 is prime because no prime up to ā45077 ā 212.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4680th prime is close to 4680 Ć ln(4680) ā 39551, and here it is 45077.
- 4
45077 has no twin: neither 45075 nor 45079 is prime.
Primes around the 4680th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4677 | 45013 | 6 |
| 4678 | 45053 | 40 |
| 4679 | 45061 | 8 |
| 4680 | 45077 | 16 |
| 4681 | 45083 | 6 |
| 4682 | 45119 | 36 |
| 4683 | 45121 | 2 |
Questions
What is the 4680th prime number?
45077.
Which prime number is 45077?
45077 is the 4680th prime number.
What is the sum of the first 4680 primes?
99,458,611.