What is the 3250th prime number?
The 3250th prime number is 30059. The next prime is 30071 (a gap of 12) and the one before is 30047.
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 3250th one is 30059.
- 2
30059 is prime because no prime up to ā30059 ā 173.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3250th prime is close to 3250 Ć ln(3250) ā 26281, and here it is 30059.
- 4
30059 has no twin: neither 30057 nor 30061 is prime.
Primes around the 3250th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3247 | 30013 | 2 |
| 3248 | 30029 | 16 |
| 3249 | 30047 | 18 |
| 3250 | 30059 | 12 |
| 3251 | 30071 | 12 |
| 3252 | 30089 | 18 |
| 3253 | 30091 | 2 |
Questions
What is the 3250th prime number?
30059.
Which prime number is 30059?
30059 is the 3250th prime number.
What is the sum of the first 3250 primes?
45,826,023.