What is the 666th prime number?
The 666th prime number is 4973. The next prime is 4987 (a gap of 14) and the one before is 4969.
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 666th one is 4973.
- 2
4973 is prime because no prime up to ā4973 ā 70.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 666th prime is close to 666 Ć ln(666) ā 4330, and here it is 4973.
- 4
4973 has no twin: neither 4971 nor 4975 is prime.
Primes around the 666th
| Position | Prime | Gap from the previous |
|---|---|---|
| 663 | 4957 | 6 |
| 664 | 4967 | 10 |
| 665 | 4969 | 2 |
| 666 | 4973 | 4 |
| 667 | 4987 | 14 |
| 668 | 4993 | 6 |
| 669 | 4999 | 6 |
Questions
What is the 666th prime number?
4973.
Which prime number is 4973?
4973 is the 666th prime number.
What is the sum of the first 666 primes?
1,533,157.