What is the 7401st prime number?
The 7401st prime number is 75083. The next prime is 75109 (a gap of 26) and the one before is 75079.
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 7401st one is 75083.
- 2
75083 is prime because no prime up to ā75083 ā 274.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7401st prime is close to 7401 Ć ln(7401) ā 65938, and here it is 75083.
- 4
75083 has no twin: neither 75081 nor 75085 is prime.
Primes around the 7401st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7398 | 75037 | 8 |
| 7399 | 75041 | 4 |
| 7400 | 75079 | 38 |
| 7401 | 75083 | 4 |
| 7402 | 75109 | 26 |
| 7403 | 75133 | 24 |
| 7404 | 75149 | 16 |
Questions
What is the 7401st prime number?
75083.
Which prime number is 75083?
75083 is the 7401st prime number.
What is the sum of the first 7401 primes?
262,674,412.