What is the 3551st prime number?
The 3551st prime number is 33119. The next prime is 33149 (a gap of 30) and the one before is 33113.
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 3551st one is 33119.
- 2
33119 is prime because no prime up to ā33119 ā 181.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3551st prime is close to 3551 Ć ln(3551) ā 29029, and here it is 33119.
- 4
33119 has no twin: neither 33117 nor 33121 is prime.
Primes around the 3551st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3548 | 33091 | 8 |
| 3549 | 33107 | 16 |
| 3550 | 33113 | 6 |
| 3551 | 33119 | 6 |
| 3552 | 33149 | 30 |
| 3553 | 33151 | 2 |
| 3554 | 33161 | 10 |
Questions
What is the 3551st prime number?
33119.
Which prime number is 33119?
33119 is the 3551st prime number.
What is the sum of the first 3551 primes?
55,341,658.