What is the 7400th prime number?
The 7400th prime number is 75079. The next prime is 75083 (a gap of 4) and the one before is 75041.
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 7400th one is 75079.
- 2
75079 is prime because no prime up to ā75079 ā 274.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7400th prime is close to 7400 Ć ln(7400) ā 65928, and here it is 75079.
- 4
75079 has no twin: neither 75077 nor 75081 is prime.
Primes around the 7400th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7397 | 75029 | 12 |
| 7398 | 75037 | 8 |
| 7399 | 75041 | 4 |
| 7400 | 75079 | 38 |
| 7401 | 75083 | 4 |
| 7402 | 75109 | 26 |
| 7403 | 75133 | 24 |
Questions
What is the 7400th prime number?
75079.
Which prime number is 75079?
75079 is the 7400th prime number.
What is the sum of the first 7400 primes?
262,599,329.