What is the 3337th prime number?
The 3337th prime number is 30949. The next prime is 30971 (a gap of 22) and the one before is 30941.
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 3337th one is 30949.
- 2
30949 is prime because no prime up to ā30949 ā 175.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3337th prime is close to 3337 Ć ln(3337) ā 27073, and here it is 30949.
- 4
30949 has no twin: neither 30947 nor 30951 is prime.
Primes around the 3337th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3334 | 30931 | 20 |
| 3335 | 30937 | 6 |
| 3336 | 30941 | 4 |
| 3337 | 30949 | 8 |
| 3338 | 30971 | 22 |
| 3339 | 30977 | 6 |
| 3340 | 30983 | 6 |
Questions
What is the 3337th prime number?
30949.
Which prime number is 30949?
30949 is the 3337th prime number.
What is the sum of the first 3337 primes?
48,480,062.