What is the 3541st prime number?
The 3541st prime number is 33029. The next prime is 33037 (a gap of 8) and the one before is 33023.
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 3541st one is 33029.
- 2
33029 is prime because no prime up to ā33029 ā 181.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3541st prime is close to 3541 Ć ln(3541) ā 28938, and here it is 33029.
- 4
33029 has no twin: neither 33027 nor 33031 is prime.
Primes around the 3541st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3538 | 32999 | 6 |
| 3539 | 33013 | 14 |
| 3540 | 33023 | 10 |
| 3541 | 33029 | 6 |
| 3542 | 33037 | 8 |
| 3543 | 33049 | 12 |
| 3544 | 33053 | 4 |
Questions
What is the 3541st prime number?
33029.
Which prime number is 33029?
33029 is the 3541st prime number.
What is the sum of the first 3541 primes?
55,010,862.