What is the 610th prime number?
The 610th prime number is 4493. The next prime is 4507 (a gap of 14) and the one before is 4483.
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 610th one is 4493.
- 2
4493 is prime because no prime up to ā4493 ā 67.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 610th prime is close to 610 Ć ln(610) ā 3912, and here it is 4493.
- 4
4493 has no twin: neither 4491 nor 4495 is prime.
Primes around the 610th
| Position | Prime | Gap from the previous |
|---|---|---|
| 607 | 4463 | 6 |
| 608 | 4481 | 18 |
| 609 | 4483 | 2 |
| 610 | 4493 | 10 |
| 611 | 4507 | 14 |
| 612 | 4513 | 6 |
| 613 | 4517 | 4 |
Questions
What is the 610th prime number?
4493.
Which prime number is 4493?
4493 is the 610th prime number.
What is the sum of the first 610 primes?
1,267,655.