What is the 8074th prime number?
The 8074th prime number is 82591. The next prime is 82601 (a gap of 10) and the one before is 82571.
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 8074th one is 82591.
- 2
82591 is prime because no prime up to ā82591 ā 287.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8074th prime is close to 8074 Ć ln(8074) ā 72637, and here it is 82591.
- 4
82591 has no twin: neither 82589 nor 82593 is prime.
Primes around the 8074th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8071 | 82561 | 2 |
| 8072 | 82567 | 6 |
| 8073 | 82571 | 4 |
| 8074 | 82591 | 20 |
| 8075 | 82601 | 10 |
| 8076 | 82609 | 8 |
| 8077 | 82613 | 4 |
Questions
What is the 8074th prime number?
82591.
Which prime number is 82591?
82591 is the 8074th prime number.
What is the sum of the first 8074 primes?
315,760,335.