What is the 607th prime number?
The 607th prime number is 4463. The next prime is 4481 (a gap of 18) and the one before is 4457.
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 607th one is 4463.
- 2
4463 is prime because no prime up to ā4463 ā 66.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 607th prime is close to 607 Ć ln(607) ā 3890, and here it is 4463.
- 4
4463 has no twin: neither 4461 nor 4465 is prime.
Primes around the 607th
| Position | Prime | Gap from the previous |
|---|---|---|
| 604 | 4447 | 6 |
| 605 | 4451 | 4 |
| 606 | 4457 | 6 |
| 607 | 4463 | 6 |
| 608 | 4481 | 18 |
| 609 | 4483 | 2 |
| 610 | 4493 | 10 |
Questions
What is the 607th prime number?
4463.
Which prime number is 4463?
4463 is the 607th prime number.
What is the sum of the first 607 primes?
1,254,198.