What is the 7925th prime number?
The 7925th prime number is 80989. The next prime is 81001 (a gap of 12) and the one before is 80963.
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 7925th one is 80989.
- 2
80989 is prime because no prime up to ā80989 ā 284.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7925th prime is close to 7925 Ć ln(7925) ā 71149, and here it is 80989.
- 4
80989 has no twin: neither 80987 nor 80991 is prime.
Primes around the 7925th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7922 | 80933 | 4 |
| 7923 | 80953 | 20 |
| 7924 | 80963 | 10 |
| 7925 | 80989 | 26 |
| 7926 | 81001 | 12 |
| 7927 | 81013 | 12 |
| 7928 | 81017 | 4 |
Questions
What is the 7925th prime number?
80989.
Which prime number is 80989?
80989 is the 7925th prime number.
What is the sum of the first 7925 primes?
303,573,528.