What is the 662nd prime number?
The 662nd prime number is 4951. The next prime is 4957 (a gap of 6) and the one before is 4943.
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 662nd one is 4951.
- 2
4951 is prime because no prime up to ā4951 ā 70.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 662nd prime is close to 662 Ć ln(662) ā 4300, and here it is 4951.
- 4
4951 has no twin: neither 4949 nor 4953 is prime.
Primes around the 662nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 659 | 4933 | 2 |
| 660 | 4937 | 4 |
| 661 | 4943 | 6 |
| 662 | 4951 | 8 |
| 663 | 4957 | 6 |
| 664 | 4967 | 10 |
| 665 | 4969 | 2 |
Questions
What is the 662nd prime number?
4951.
Which prime number is 4951?
4951 is the 662nd prime number.
What is the sum of the first 662 primes?
1,513,291.