What is the 7125th prime number?
The 7125th prime number is 71983. The next prime is 71987 (a gap of 4) and the one before is 71971.
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 7125th one is 71983.
- 2
71983 is prime because no prime up to ā71983 ā 268.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7125th prime is close to 7125 Ć ln(7125) ā 63208, and here it is 71983.
- 4
71983 has no twin: neither 71981 nor 71985 is prime.
Primes around the 7125th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7122 | 71947 | 6 |
| 7123 | 71963 | 16 |
| 7124 | 71971 | 8 |
| 7125 | 71983 | 12 |
| 7126 | 71987 | 4 |
| 7127 | 71993 | 6 |
| 7128 | 71999 | 6 |
Questions
What is the 7125th prime number?
71983.
Which prime number is 71983?
71983 is the 7125th prime number.
What is the sum of the first 7125 primes?
242,377,682.