What is the 3553rd prime number?
The 3553rd prime number is 33151. The next prime is 33161 (a gap of 10) and the one before is 33149.
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 3553rd one is 33151.
- 2
33151 is prime because no prime up to ā33151 ā 182.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3553rd prime is close to 3553 Ć ln(3553) ā 29048, and here it is 33151.
- 4
33151 is a twin prime: 33149 and 33151 are both prime.
Primes around the 3553rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3550 | 33113 | 6 |
| 3551 | 33119 | 6 |
| 3552 | 33149 | 30 |
| 3553 | 33151 | 2 |
| 3554 | 33161 | 10 |
| 3555 | 33179 | 18 |
| 3556 | 33181 | 2 |
Questions
What is the 3553rd prime number?
33151.
Which prime number is 33151?
33151 is the 3553rd prime number.
What is the sum of the first 3553 primes?
55,407,958.