What is the 972nd prime number?
The 972nd prime number is 7669. The next prime is 7673 (a gap of 4) and the one before is 7649.
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 972nd one is 7669.
- 2
7669 is prime because no prime up to ā7669 ā 87.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 972nd prime is close to 972 Ć ln(972) ā 6687, and here it is 7669.
- 4
7669 has no twin: neither 7667 nor 7671 is prime.
Primes around the 972nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 969 | 7639 | 18 |
| 970 | 7643 | 4 |
| 971 | 7649 | 6 |
| 972 | 7669 | 20 |
| 973 | 7673 | 4 |
| 974 | 7681 | 8 |
| 975 | 7687 | 6 |
Questions
What is the 972nd prime number?
7669.
Which prime number is 7669?
7669 is the 972nd prime number.
What is the sum of the first 972 primes?
3,464,751.