What is the 3552nd prime number?
The 3552nd prime number is 33149. The next prime is 33151 (a gap of 2) and the one before is 33119.
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 3552nd one is 33149.
- 2
33149 is prime because no prime up to ā33149 ā 182.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3552nd prime is close to 3552 Ć ln(3552) ā 29039, and here it is 33149.
- 4
33149 is a twin prime: 33149 and 33151 are both prime.
Primes around the 3552nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3549 | 33107 | 16 |
| 3550 | 33113 | 6 |
| 3551 | 33119 | 6 |
| 3552 | 33149 | 30 |
| 3553 | 33151 | 2 |
| 3554 | 33161 | 10 |
| 3555 | 33179 | 18 |
Questions
What is the 3552nd prime number?
33149.
Which prime number is 33149?
33149 is the 3552nd prime number.
What is the sum of the first 3552 primes?
55,374,807.