What is the 4764th prime number?
The 4764th prime number is 46049. The next prime is 46051 (a gap of 2) and the one before is 46027.
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 4764th one is 46049.
- 2
46049 is prime because no prime up to ā46049 ā 214.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4764th prime is close to 4764 Ć ln(4764) ā 40346, and here it is 46049.
- 4
46049 is a twin prime: 46049 and 46051 are both prime.
Primes around the 4764th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4761 | 45989 | 10 |
| 4762 | 46021 | 32 |
| 4763 | 46027 | 6 |
| 4764 | 46049 | 22 |
| 4765 | 46051 | 2 |
| 4766 | 46061 | 10 |
| 4767 | 46073 | 12 |
Questions
What is the 4764th prime number?
46049.
Which prime number is 46049?
46049 is the 4764th prime number.
What is the sum of the first 4764 primes?
103,285,177.