What is the 970th prime number?
The 970th prime number is 7643. The next prime is 7649 (a gap of 6) and the one before is 7639.
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 970th one is 7643.
- 2
7643 is prime because no prime up to ā7643 ā 87.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 970th prime is close to 970 Ć ln(970) ā 6671, and here it is 7643.
- 4
7643 has no twin: neither 7641 nor 7645 is prime.
Primes around the 970th
| Position | Prime | Gap from the previous |
|---|---|---|
| 967 | 7607 | 4 |
| 968 | 7621 | 14 |
| 969 | 7639 | 18 |
| 970 | 7643 | 4 |
| 971 | 7649 | 6 |
| 972 | 7669 | 20 |
| 973 | 7673 | 4 |
Questions
What is the 970th prime number?
7643.
Which prime number is 7643?
7643 is the 970th prime number.
What is the sum of the first 970 primes?
3,449,433.