What is the 3550th prime number?
The 3550th prime number is 33113. The next prime is 33119 (a gap of 6) and the one before is 33107.
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 3550th one is 33113.
- 2
33113 is prime because no prime up to ā33113 ā 181.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3550th prime is close to 3550 Ć ln(3550) ā 29020, and here it is 33113.
- 4
33113 has no twin: neither 33111 nor 33115 is prime.
Primes around the 3550th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3547 | 33083 | 10 |
| 3548 | 33091 | 8 |
| 3549 | 33107 | 16 |
| 3550 | 33113 | 6 |
| 3551 | 33119 | 6 |
| 3552 | 33149 | 30 |
| 3553 | 33151 | 2 |
Questions
What is the 3550th prime number?
33113.
Which prime number is 33113?
33113 is the 3550th prime number.
What is the sum of the first 3550 primes?
55,308,539.