What is the 3336th prime number?
The 3336th prime number is 30941. The next prime is 30949 (a gap of 8) and the one before is 30937.
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 3336th one is 30941.
- 2
30941 is prime because no prime up to ā30941 ā 175.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3336th prime is close to 3336 Ć ln(3336) ā 27063, and here it is 30941.
- 4
30941 has no twin: neither 30939 nor 30943 is prime.
Primes around the 3336th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3333 | 30911 | 18 |
| 3334 | 30931 | 20 |
| 3335 | 30937 | 6 |
| 3336 | 30941 | 4 |
| 3337 | 30949 | 8 |
| 3338 | 30971 | 22 |
| 3339 | 30977 | 6 |
Questions
What is the 3336th prime number?
30941.
Which prime number is 30941?
30941 is the 3336th prime number.
What is the sum of the first 3336 primes?
48,449,113.