What is the 7501st prime number?
The 7501st prime number is 76213. The next prime is 76231 (a gap of 18) and the one before is 76207.
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 7501st one is 76213.
- 2
76213 is prime because no prime up to ā76213 ā 276.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7501st prime is close to 7501 Ć ln(7501) ā 66930, and here it is 76213.
- 4
76213 has no twin: neither 76211 nor 76215 is prime.
Primes around the 7501st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7498 | 76159 | 2 |
| 7499 | 76163 | 4 |
| 7500 | 76207 | 44 |
| 7501 | 76213 | 6 |
| 7502 | 76231 | 18 |
| 7503 | 76243 | 12 |
| 7504 | 76249 | 6 |
Questions
What is the 7501st prime number?
76213.
Which prime number is 76213?
76213 is the 7501st prime number.
What is the sum of the first 7501 primes?
270,238,886.