What is the 7251st prime number?
The 7251st prime number is 73421. The next prime is 73433 (a gap of 12) and the one before is 73417.
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 7251st one is 73421.
- 2
73421 is prime because no prime up to ā73421 ā 270.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7251st prime is close to 7251 Ć ln(7251) ā 64453, and here it is 73421.
- 4
73421 has no twin: neither 73419 nor 73423 is prime.
Primes around the 7251st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7248 | 73379 | 10 |
| 7249 | 73387 | 8 |
| 7250 | 73417 | 30 |
| 7251 | 73421 | 4 |
| 7252 | 73433 | 12 |
| 7253 | 73453 | 20 |
| 7254 | 73459 | 6 |
Questions
What is the 7251st prime number?
73421.
Which prime number is 73421?
73421 is the 7251st prime number.
What is the sum of the first 7251 primes?
251,535,806.