What is the 1607th prime number?
The 1607th prime number is 13591. The next prime is 13597 (a gap of 6) and the one before is 13577.
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 1607th one is 13591.
- 2
13591 is prime because no prime up to ā13591 ā 116.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1607th prime is close to 1607 Ć ln(1607) ā 11863, and here it is 13591.
- 4
13591 has no twin: neither 13589 nor 13593 is prime.
Primes around the 1607th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1604 | 13553 | 16 |
| 1605 | 13567 | 14 |
| 1606 | 13577 | 10 |
| 1607 | 13591 | 14 |
| 1608 | 13597 | 6 |
| 1609 | 13613 | 16 |
| 1610 | 13619 | 6 |
Questions
What is the 1607th prime number?
13591.
Which prime number is 13591?
13591 is the 1607th prime number.
What is the sum of the first 1607 primes?
10,194,050.