What is the 664th prime number?
The 664th prime number is 4967. The next prime is 4969 (a gap of 2) and the one before is 4957.
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 664th one is 4967.
- 2
4967 is prime because no prime up to ā4967 ā 70.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 664th prime is close to 664 Ć ln(664) ā 4315, and here it is 4967.
- 4
4967 is a twin prime: 4967 and 4969 are both prime.
Primes around the 664th
| Position | Prime | Gap from the previous |
|---|---|---|
| 661 | 4943 | 6 |
| 662 | 4951 | 8 |
| 663 | 4957 | 6 |
| 664 | 4967 | 10 |
| 665 | 4969 | 2 |
| 666 | 4973 | 4 |
| 667 | 4987 | 14 |
Questions
What is the 664th prime number?
4967.
Which prime number is 4967?
4967 is the 664th prime number.
What is the sum of the first 664 primes?
1,523,215.