What is the 660th prime number?
The 660th prime number is 4937. The next prime is 4943 (a gap of 6) and the one before is 4933.
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 660th one is 4937.
- 2
4937 is prime because no prime up to ā4937 ā 70.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 660th prime is close to 660 Ć ln(660) ā 4285, and here it is 4937.
- 4
4937 has no twin: neither 4935 nor 4939 is prime.
Primes around the 660th
| Position | Prime | Gap from the previous |
|---|---|---|
| 657 | 4919 | 10 |
| 658 | 4931 | 12 |
| 659 | 4933 | 2 |
| 660 | 4937 | 4 |
| 661 | 4943 | 6 |
| 662 | 4951 | 8 |
| 663 | 4957 | 6 |
Questions
What is the 660th prime number?
4937.
Which prime number is 4937?
4937 is the 660th prime number.
What is the sum of the first 660 primes?
1,503,397.