What is the 2074th prime number?
The 2074th prime number is 18097. The next prime is 18119 (a gap of 22) and the one before is 18089.
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 2074th one is 18097.
- 2
18097 is prime because no prime up to ā18097 ā 134.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2074th prime is close to 2074 Ć ln(2074) ā 15840, and here it is 18097.
- 4
18097 has no twin: neither 18095 nor 18099 is prime.
Primes around the 2074th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2071 | 18061 | 2 |
| 2072 | 18077 | 16 |
| 2073 | 18089 | 12 |
| 2074 | 18097 | 8 |
| 2075 | 18119 | 22 |
| 2076 | 18121 | 2 |
| 2077 | 18127 | 6 |
Questions
What is the 2074th prime number?
18097.
Which prime number is 18097?
18097 is the 2074th prime number.
What is the sum of the first 2074 primes?
17,587,913.