What is the 4762nd prime number?
The 4762nd prime number is 46021. The next prime is 46027 (a gap of 6) and the one before is 45989.
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 4762nd one is 46021.
- 2
46021 is prime because no prime up to ā46021 ā 214.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4762nd prime is close to 4762 Ć ln(4762) ā 40327, and here it is 46021.
- 4
46021 has no twin: neither 46019 nor 46023 is prime.
Primes around the 4762nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4759 | 45971 | 12 |
| 4760 | 45979 | 8 |
| 4761 | 45989 | 10 |
| 4762 | 46021 | 32 |
| 4763 | 46027 | 6 |
| 4764 | 46049 | 22 |
| 4765 | 46051 | 2 |
Questions
What is the 4762nd prime number?
46021.
Which prime number is 46021?
46021 is the 4762nd prime number.
What is the sum of the first 4762 primes?
103,193,101.