What is the 3073rd prime number?
The 3073rd prime number is 28183. The next prime is 28201 (a gap of 18) and the one before is 28181.
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 3073rd one is 28183.
- 2
28183 is prime because no prime up to ā28183 ā 167.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3073rd prime is close to 3073 Ć ln(3073) ā 24677, and here it is 28183.
- 4
28183 is a twin prime: 28181 and 28183 are both prime.
Primes around the 3073rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3070 | 28151 | 28 |
| 3071 | 28163 | 12 |
| 3072 | 28181 | 18 |
| 3073 | 28183 | 2 |
| 3074 | 28201 | 18 |
| 3075 | 28211 | 10 |
| 3076 | 28219 | 8 |
Questions
What is the 3073rd prime number?
28183.
Which prime number is 28183?
28183 is the 3073rd prime number.
What is the sum of the first 3073 primes?
40,676,624.