What is the 3256th prime number?
The 3256th prime number is 30109. The next prime is 30113 (a gap of 4) and the one before is 30103.
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 3256th one is 30109.
- 2
30109 is prime because no prime up to ā30109 ā 173.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3256th prime is close to 3256 Ć ln(3256) ā 26335, and here it is 30109.
- 4
30109 has no twin: neither 30107 nor 30111 is prime.
Primes around the 3256th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3253 | 30091 | 2 |
| 3254 | 30097 | 6 |
| 3255 | 30103 | 6 |
| 3256 | 30109 | 6 |
| 3257 | 30113 | 4 |
| 3258 | 30119 | 6 |
| 3259 | 30133 | 14 |
Questions
What is the 3256th prime number?
30109.
Which prime number is 30109?
30109 is the 3256th prime number.
What is the sum of the first 3256 primes?
46,006,583.