What is the 665th prime number?
The 665th prime number is 4969. The next prime is 4973 (a gap of 4) and the one before is 4967.
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 665th one is 4969.
- 2
4969 is prime because no prime up to ā4969 ā 70.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 665th prime is close to 665 Ć ln(665) ā 4322, and here it is 4969.
- 4
4969 is a twin prime: 4967 and 4969 are both prime.
Primes around the 665th
| Position | Prime | Gap from the previous |
|---|---|---|
| 662 | 4951 | 8 |
| 663 | 4957 | 6 |
| 664 | 4967 | 10 |
| 665 | 4969 | 2 |
| 666 | 4973 | 4 |
| 667 | 4987 | 14 |
| 668 | 4993 | 6 |
Questions
What is the 665th prime number?
4969.
Which prime number is 4969?
4969 is the 665th prime number.
What is the sum of the first 665 primes?
1,528,184.