What is the 3335th prime number?
The 3335th prime number is 30937. The next prime is 30941 (a gap of 4) and the one before is 30931.
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 3335th one is 30937.
- 2
30937 is prime because no prime up to ā30937 ā 175.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3335th prime is close to 3335 Ć ln(3335) ā 27054, and here it is 30937.
- 4
30937 has no twin: neither 30935 nor 30939 is prime.
Primes around the 3335th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3332 | 30893 | 12 |
| 3333 | 30911 | 18 |
| 3334 | 30931 | 20 |
| 3335 | 30937 | 6 |
| 3336 | 30941 | 4 |
| 3337 | 30949 | 8 |
| 3338 | 30971 | 22 |
Questions
What is the 3335th prime number?
30937.
Which prime number is 30937?
30937 is the 3335th prime number.
What is the sum of the first 3335 primes?
48,418,172.