What is the 3072nd prime number?
The 3072nd prime number is 28181. The next prime is 28183 (a gap of 2) and the one before is 28163.
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 3072nd one is 28181.
- 2
28181 is prime because no prime up to ā28181 ā 167.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3072nd prime is close to 3072 Ć ln(3072) ā 24668, and here it is 28181.
- 4
28181 is a twin prime: 28181 and 28183 are both prime.
Primes around the 3072nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3069 | 28123 | 12 |
| 3070 | 28151 | 28 |
| 3071 | 28163 | 12 |
| 3072 | 28181 | 18 |
| 3073 | 28183 | 2 |
| 3074 | 28201 | 18 |
| 3075 | 28211 | 10 |
Questions
What is the 3072nd prime number?
28181.
Which prime number is 28181?
28181 is the 3072nd prime number.
What is the sum of the first 3072 primes?
40,648,441.