What is the 3077th prime number?
The 3077th prime number is 28229. The next prime is 28277 (a gap of 48) and the one before is 28219.
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 3077th one is 28229.
- 2
28229 is prime because no prime up to ā28229 ā 168.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3077th prime is close to 3077 Ć ln(3077) ā 24714, and here it is 28229.
- 4
28229 has no twin: neither 28227 nor 28231 is prime.
Primes around the 3077th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3074 | 28201 | 18 |
| 3075 | 28211 | 10 |
| 3076 | 28219 | 8 |
| 3077 | 28229 | 10 |
| 3078 | 28277 | 48 |
| 3079 | 28279 | 2 |
| 3080 | 28283 | 4 |
Questions
What is the 3077th prime number?
28229.
Which prime number is 28229?
28229 is the 3077th prime number.
What is the sum of the first 3077 primes?
40,789,484.