- Source: 145 (number)
145 (one hundred [and] forty-five) is the natural number following 144 and preceding 146.
In mathematics
Although composite, 145 is a Fermat pseudoprime in sixteen bases with b < 145. In four of those bases, it is a strong pseudoprime: 1, 12, 17, and 144.
the Mertens function returns 0.
145 is a pentagonal number and a centered square number.
145
=
12
2
+
1
2
=
8
2
+
9
2
{\displaystyle 145=12^{2}+1^{2}=8^{2}+9^{2}}
. 145 is the fourth number that is the sum of two different pairs of squares. Also, 145 is the result of 34 + 43, making it a Leyland number.
145
=
1
!
+
4
!
+
5
!
{\displaystyle 145=1!+4!+5!}
, making it a factorion. The only other numbers that have this property are 1, 2 and 40585.
145
=
5
2
+
5
!
=
11
2
+
4
!
=
12
2
+
1
!
{\displaystyle 145=5^{2}+5!=11^{2}+4!=12^{2}+1!}
, making 145 the smallest number that can be written as the sum of a square number and a factorial in 3 ways. The next number with this property is 46249.
In the military
USS Armada (AM-145) was a United States Navy Admirable-class minesweeper during World War II
USS Colbert (APA-145) was a United States Navy Haskell-class attack transport during World War II
USS General Harry Taylor (AP-145) was a United States Navy General G. O. Squier-class transport during World War II
USS Greer (DD-145) was a United States Navy Wickes-class destroyer during World War II
USS Huse (DE-145) was a United States Navy Edsall-class destroyer escort during World War II
USS Roanoke (CL-145) was a United States Navy Worcester-class cruiser following World War II
In sports
The Grand Union Canal Race is a 145-mile ultramarathon from Birmingham to London along the Grand Union Canal
In transportation
Eurocopter EC 145 is a twin-engine light utility helicopter
The Delahaye 145 Sports Car from 1938
The Alfa Romeo 145 car produced between 1994 and 2001
Volvo 145 Express station wagon
ERJ 145 regional jets produced by Embraer
Golden Gate Transit Bus Route 145
London Bus Route 145
In other fields
145 is also:
The year AD 145 or 145 BC
145 AH is a year in the Islamic calendar that corresponds to 762 – 763 CE
145 Adeona is a large main belt asteroid
Psalm 145
Sonnet 145
Apple Computer laptops, such as the PowerBook 145 and PowerBook 145B
Puff Daddy song “Picture it” includes the lyrics “in something foreign soarin’ 145”
Tsuu T'ina Nation 145 Indian reserve in Alberta, Canada
145 mg medicine tablets, as with Tricor
"One Four Five" is a song by The Cat Empire
See also
List of highways numbered 145
United Nations Security Council Resolution 145
United States Supreme Court cases, Volume 145
References
Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 140
External links
The Natural Number 145
Parker, Matt. "145 and the Melancoil". Numberphile. Brady Haran. Archived from the original on 2013-05-14. Retrieved 2013-04-06.
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