What is the 3373rd prime number?
The 3373rd prime number is 31277. The next prime is 31307 (a gap of 30) and the one before is 31271.
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 3373rd one is 31277.
- 2
31277 is prime because no prime up to ā31277 ā 176.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3373rd prime is close to 3373 Ć ln(3373) ā 27401, and here it is 31277.
- 4
31277 has no twin: neither 31275 nor 31279 is prime.
Primes around the 3373rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3370 | 31259 | 6 |
| 3371 | 31267 | 8 |
| 3372 | 31271 | 4 |
| 3373 | 31277 | 6 |
| 3374 | 31307 | 30 |
| 3375 | 31319 | 12 |
| 3376 | 31321 | 2 |
Questions
What is the 3373rd prime number?
31277.
Which prime number is 31277?
31277 is the 3373rd prime number.
What is the sum of the first 3373 primes?
49,601,180.