What is the 7074th prime number?
The 7074th prime number is 71419. The next prime is 71429 (a gap of 10) and the one before is 71413.
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 7074th one is 71419.
- 2
71419 is prime because no prime up to ā71419 ā 267.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7074th prime is close to 7074 Ć ln(7074) ā 62705, and here it is 71419.
- 4
71419 has no twin: neither 71417 nor 71421 is prime.
Primes around the 7074th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7071 | 71399 | 10 |
| 7072 | 71411 | 12 |
| 7073 | 71413 | 2 |
| 7074 | 71419 | 6 |
| 7075 | 71429 | 10 |
| 7076 | 71437 | 8 |
| 7077 | 71443 | 6 |
Questions
What is the 7074th prime number?
71419.
Which prime number is 71419?
71419 is the 7074th prime number.
What is the sum of the first 7074 primes?
238,720,297.