What is the 4625th prime number?
The 4625th prime number is 44501. The next prime is 44507 (a gap of 6) and the one before is 44497.
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 4625th one is 44501.
- 2
44501 is prime because no prime up to ā44501 ā 210.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4625th prime is close to 4625 Ć ln(4625) ā 39031, and here it is 44501.
- 4
44501 has no twin: neither 44499 nor 44503 is prime.
Primes around the 4625th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4622 | 44483 | 30 |
| 4623 | 44491 | 8 |
| 4624 | 44497 | 6 |
| 4625 | 44501 | 4 |
| 4626 | 44507 | 6 |
| 4627 | 44519 | 12 |
| 4628 | 44531 | 12 |
Questions
What is the 4625th prime number?
44501.
Which prime number is 44501?
44501 is the 4625th prime number.
What is the sum of the first 4625 primes?
96,996,056.