What is the 3255th prime number?
The 3255th prime number is 30103. The next prime is 30109 (a gap of 6) and the one before is 30097.
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 3255th one is 30103.
- 2
30103 is prime because no prime up to ā30103 ā 173.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3255th prime is close to 3255 Ć ln(3255) ā 26326, and here it is 30103.
- 4
30103 has no twin: neither 30101 nor 30105 is prime.
Primes around the 3255th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3252 | 30089 | 18 |
| 3253 | 30091 | 2 |
| 3254 | 30097 | 6 |
| 3255 | 30103 | 6 |
| 3256 | 30109 | 6 |
| 3257 | 30113 | 4 |
| 3258 | 30119 | 6 |
Questions
What is the 3255th prime number?
30103.
Which prime number is 30103?
30103 is the 3255th prime number.
What is the sum of the first 3255 primes?
45,976,474.