What is the 3251st prime number?
The 3251st prime number is 30071. The next prime is 30089 (a gap of 18) and the one before is 30059.
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 3251st one is 30071.
- 2
30071 is prime because no prime up to ā30071 ā 173.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3251st prime is close to 3251 Ć ln(3251) ā 26290, and here it is 30071.
- 4
30071 has no twin: neither 30069 nor 30073 is prime.
Primes around the 3251st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3248 | 30029 | 16 |
| 3249 | 30047 | 18 |
| 3250 | 30059 | 12 |
| 3251 | 30071 | 12 |
| 3252 | 30089 | 18 |
| 3253 | 30091 | 2 |
| 3254 | 30097 | 6 |
Questions
What is the 3251st prime number?
30071.
Which prime number is 30071?
30071 is the 3251st prime number.
What is the sum of the first 3251 primes?
45,856,094.