What is the 3254th prime number?
The 3254th prime number is 30097. The next prime is 30103 (a gap of 6) and the one before is 30091.
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 3254th one is 30097.
- 2
30097 is prime because no prime up to ā30097 ā 173.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3254th prime is close to 3254 Ć ln(3254) ā 26317, and here it is 30097.
- 4
30097 has no twin: neither 30095 nor 30099 is prime.
Primes around the 3254th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3251 | 30071 | 12 |
| 3252 | 30089 | 18 |
| 3253 | 30091 | 2 |
| 3254 | 30097 | 6 |
| 3255 | 30103 | 6 |
| 3256 | 30109 | 6 |
| 3257 | 30113 | 4 |
Questions
What is the 3254th prime number?
30097.
Which prime number is 30097?
30097 is the 3254th prime number.
What is the sum of the first 3254 primes?
45,946,371.