What is the 74th prime number?
The 74th prime number is 373. The next prime is 379 (a gap of 6) and the one before is 367.
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 74th one is 373.
- 2
373 is prime because no prime up to ā373 ā 19.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 74th prime is close to 74 Ć ln(74) ā 319, and here it is 373.
- 4
373 has no twin: neither 371 nor 375 is prime.
Primes around the 74th
| Position | Prime | Gap from the previous |
|---|---|---|
| 71 | 353 | 4 |
| 72 | 359 | 6 |
| 73 | 367 | 8 |
| 74 | 373 | 6 |
| 75 | 379 | 6 |
| 76 | 383 | 4 |
| 77 | 389 | 6 |
Questions
What is the 74th prime number?
373.
Which prime number is 373?
373 is the 74th prime number.
What is the sum of the first 74 primes?
12,339.