What is the 5601st prime number?
The 5601st prime number is 55109. The next prime is 55117 (a gap of 8) and the one before is 55103.
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 5601st one is 55109.
- 2
55109 is prime because no prime up to ā55109 ā 234.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5601st prime is close to 5601 Ć ln(5601) ā 48341, and here it is 55109.
- 4
55109 has no twin: neither 55107 nor 55111 is prime.
Primes around the 5601st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5598 | 55073 | 12 |
| 5599 | 55079 | 6 |
| 5600 | 55103 | 24 |
| 5601 | 55109 | 6 |
| 5602 | 55117 | 8 |
| 5603 | 55127 | 10 |
| 5604 | 55147 | 20 |
Questions
What is the 5601st prime number?
55109.
Which prime number is 55109?
55109 is the 5601st prime number.
What is the sum of the first 5601 primes?
145,609,708.