What is the 3554th prime number?
The 3554th prime number is 33161. The next prime is 33179 (a gap of 18) and the one before is 33151.
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 3554th one is 33161.
- 2
33161 is prime because no prime up to ā33161 ā 182.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3554th prime is close to 3554 Ć ln(3554) ā 29057, and here it is 33161.
- 4
33161 has no twin: neither 33159 nor 33163 is prime.
Primes around the 3554th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3551 | 33119 | 6 |
| 3552 | 33149 | 30 |
| 3553 | 33151 | 2 |
| 3554 | 33161 | 10 |
| 3555 | 33179 | 18 |
| 3556 | 33181 | 2 |
| 3557 | 33191 | 10 |
Questions
What is the 3554th prime number?
33161.
Which prime number is 33161?
33161 is the 3554th prime number.
What is the sum of the first 3554 primes?
55,441,119.