Largest differences between intersecting numbers

[Alps]

A selection to start:
* Greatest difference, all routes (USA): 1, 90005 (GW Pkwy., VA)
* Greatest difference, signed routes (USA): 1, 9336 (FL)
* Greatest difference, Interstates: 85 and 985, 5 and 905 (future)
     ~ Multiplicative: H1, H201
* Greatest difference, Interstates excluding parent routes: 43, 894
     ~ Multiplicative: 5, 710
* Greatest difference, US Highways: 12, 730
     ~ Multiplicative: 1, 601
     ~ Multiplicative, excluding parent routes: 1, 521

BY STATE:
* NJ, all routes: 40, 700 (NJ Tpk.)
* NJ, signed routes only: 30, 676
~ Multiplicative: 1, 495

* DE: 2, 896

* NY, excluding reference routes: 5, 890
     ~ Multiplicative: 3, 812

* MA: 1, 495

* RI: 2, 295
     ~ Multiplicative: 1, 216

[agentsteel53]

largest product of US routes:

US-501, US-701.  Conway, SC.

smallest product of US routes:
US-1, US-2.  Houlton, ME. 

honorable mention, smallest product of three US routes, depending on the value of A: US-2A ending at US-1/US-2. 

[kkt]

California current largest difference between touching route numbers:  980 turning into 24.

In the past, 880 was highway 17, and the junction of 980 and 17 was the largest difference.

[agentsteel53]

largest product of interstates: 880 x 980.  a shame that 890 and 990 do not intersect.

three: 97 x 695 x 895 spur is probably it.  80 x 580 x 880 if we don't want to get into spurs.

[kkt]

In Washington, I think the largest difference is the junction of routes 970 and 10.

[dfilpus]

Michigan: M-35, M-553 Multiplicative: M-94, M-553
North Carolina: NC 4, NC 903 Multiplicative: NC 904, NC 905
Ohio: OH 872, OH 7 Multiplicative: OH 800, OH 799
Virginia: VA 5, VA 895 Multiplicative I 295, VA 895
Washington: WA 10, WA 970 Multiplicative WA 903, WA 970

[NE2]

Guys, by multiplicative he means the largest quotient of two routes. Perhaps geometric would have been clearer.

[NE2]

E429 intersects R0 at Brussels.

[agentsteel53]

Guys, by multiplicative he means the largest quotient of two routes. Perhaps geometric would have been clearer.

still fun to come up with large products. 

[Alps]

E429 intersects R0 at Brussels.

So that'd be the worldwide winner, tied with any other road intersecting a 0 route.*

* Feel free to dispute aleph-nulls with me, I'm not biting.

[agentsteel53]

E429 intersects R0 at Brussels.

offhand, I see N533 at N6, for arithmetic difference.  for a possible sum and/or product, N532 at N533.

Hungary has an M0, which intersects various routes.  in fact, there is an M0-M1-1 interchange.

[Pete from Boston]

Guys, by multiplicative he means the largest quotient of two routes. Perhaps geometric would have been clearer.

I thought he meant which route is the greatest multiple of the other (I may be putting this wrong -- I tested out of math in college and thus have avoided it since high school 875 years ago).

In other words, H201 is 201 times its lowest intersector, H1, greater a difference than 5 and 905 (5 x 181 = 905, 181 < 201).

[NE2]

Guys, by multiplicative he means the largest quotient of two routes. Perhaps geometric would have been clearer.

I thought he meant which route is the greatest multiple of the other (I may be putting this wrong -- I tested out of math in college and thus have avoided it since high school 875 years ago).

In other words, H201 is 201 times its lowest intersector, H1, greater a difference than 5 and 905 (5 x 181 = 905, 181 < 201).

Yes, H201/H1 is a larger quotient than 905/5.

[hbelkins]

(will be looking at Kentucky maps tomorrow to see which four-digit 3xxx-series routes intersect KY 1)

[bassoon1986]

(will be looking at Kentucky maps tomorrow to see which four-digit 3xxx-series routes intersect KY 1)

As will I with Louisiana. I don't think we've made it to 33xx yet

[bassoon1986]

Louisiana: LA 1 & LA 3279, and it is signed

[sp_redelectric]

Oregon:  Interstate 5 and Oregon 569 (Pape Beltline Highway) in Eugene, or U.S. 30 (a.k.a. I-84) and U.S. 730 in Irrigon, or U.S. 730 and Oregon 37 east of Umatilla.

[NE2]

Florida state roads: 5 (unsigned) and 9336.

The only other state road to touch 9336 is 997, the second-highest signed number and the highest three-digit number. 5054 only touches 518 (and former 5098 touched nothing below 15), making 5/9336 best arithmetically and geometrically.

[Laura]

Maryland: US-1 and MD-924 in Bel Air

[Scott5114]

Oklahoma: US 412 and OK 3 are concurrent (difference of 409). Restricting it to OK routes only, 325 and 3 (difference of 322). Both of these pairs are present in Boise City.

[CNGL-Leudimin]

I think this is currently the biggest one in Spain:

A-2 exit 463 is for LP-9221. This is near Lleida.

Edit:

A selection to start:
* Greatest difference, signed routes (USA): 1, 9336 (FL)

At least you remarked it's only USA, since if we go worldwide it gets beaten by the concurrency of G4 and G9411 in southern China. Going multiplicative, that intersection holds the world record, I believe.

[amh424]

Illinois:  As far as state routes go, the greatest difference is between IL 1 and IL 394.  The highest and the lowest state roads.

[spooky]

* RI: 2, 295
     ~ Multiplicative: 1, 216

If I understand your premise correctly, wouldn't this be 1 and 403? RI 403 intersects US 1 in North Kingstown.

[Roadsguy]

For PA, it might be the intersection of PA 3 and 926 in Willistown, east of West Chester.

[NWI_Irish96]

Indiana doesn't use 4-digit routes so none of these are going to rank nationally:

Largest difference: IN 933 and IN 23
- US highways: US 421 and US 6
- Interstates: I-865 and I-65

Multiplicitive: IN 1 and I-469

Largest product: I-865 and I-465