What is the 2073rd prime number?
The 2073rd prime number is 18089. The next prime is 18097 (a gap of 8) and the one before is 18077.
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 2073rd one is 18089.
- 2
18089 is prime because no prime up to ā18089 ā 134.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2073rd prime is close to 2073 Ć ln(2073) ā 15831, and here it is 18089.
- 4
18089 has no twin: neither 18087 nor 18091 is prime.
Primes around the 2073rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2070 | 18059 | 10 |
| 2071 | 18061 | 2 |
| 2072 | 18077 | 16 |
| 2073 | 18089 | 12 |
| 2074 | 18097 | 8 |
| 2075 | 18119 | 22 |
| 2076 | 18121 | 2 |
Questions
What is the 2073rd prime number?
18089.
Which prime number is 18089?
18089 is the 2073rd prime number.
What is the sum of the first 2073 primes?
17,569,816.