What is the 3076th prime number?
The 3076th prime number is 28219. The next prime is 28229 (a gap of 10) and the one before is 28211.
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 3076th one is 28219.
- 2
28219 is prime because no prime up to ā28219 ā 167.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3076th prime is close to 3076 Ć ln(3076) ā 24705, and here it is 28219.
- 4
28219 has no twin: neither 28217 nor 28221 is prime.
Primes around the 3076th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3073 | 28183 | 2 |
| 3074 | 28201 | 18 |
| 3075 | 28211 | 10 |
| 3076 | 28219 | 8 |
| 3077 | 28229 | 10 |
| 3078 | 28277 | 48 |
| 3079 | 28279 | 2 |
Questions
What is the 3076th prime number?
28219.
Which prime number is 28219?
28219 is the 3076th prime number.
What is the sum of the first 3076 primes?
40,761,255.